Example 2 (Method 1) Find the area of the sector of a circle with radius 4 cm and of angle 30°. Find the length of the corresponding arc of this sector. When angle of the sector is 360°, area of the sector i.e. Find the area of the sector of a circle with radius 4 c m and of angle 6 0 ∘. Each sector has a unique central angle that it subtends at the center of the circle. You can experiment with other proportions in the applet at the top of the page. \) Here, r = 21 cm and q = 150 … Initially the formula is the same, but it gets re-written and simplified slightly: Sector Area = \boldsymbol{\frac{\theta}{2\pi}} × πr 2 = \boldsymbol{\frac{\theta \space \times \space \pi}{2\pi}} × r … Example 3: In Figure 5, find the area of sector RQTS. In simple terms it looks like a slice of pie. and an arc lying between the radii. A sector always has its origin at the midpoint of the circle. More Geometry Lessons. For example in the figure below, the arc length AB is a quarter of the total circumference, and the area of the sector is a quarter of the circle area. Area of a sector is a fractions of the area of a circle. The area of a sector is a portion of the entire area of the circle. Each tool is carefully developed and rigorously tested, and our content is well-sourced, but despite our best effort it is possible they contain errors. Find the length of its arc and area. sector. the area of each sector of the brooch. Relate the area of a sector to the area of a whole circle and the central angle measure. You need to measure or know to things: the sector's radius and its angle. Just use π = 3.14 and replace the value of r and n into the formula to get the area However, what is a sector? A sector is defined as the region enclosed by two radii of a circle and their subtended arc; its area is a portion of the circle's entire area. Substitute 27 for r. 27l = 648. The following diagrams give the formulas for the area of circle and the area of sector. Relate the area of a sector to the area of a whole circle and the central angle measure. Recall that the angle of a full circle in radians is 2π. Caution when calculating the area of a sector: n must be positive is less than 360° Example #1: A circle has a radius of 5 cm. In the diagram, θ is the central angle, r {\displaystyle r} the radius of the circle, and L {\displaystyle L} is the arc length of the minor sector. The arc length l and area A of a sector of angle θ in a circle of radius r are given by \( l=\frac{\theta }{360}\times 2\pi r\text{ and A=}\frac{\theta }{360}\times \pi {{r}^{2}}\text{ respectively}\text{.} Here’s the formal solution: Find the area of circle segment IK. the formula for area of sector (in degrees), the formula for area of sector (in radians), how to calculate the central angle of a sector. A sector with the central angle of 180° is called a half-disk and is bounded by a diameter and a … Our online calculators, converters, randomizers, and content are provided "as is", free of charge, and without any warranty or guarantee. When measured in degrees, the full angle is 360°. Circles, Sectors, Segments It uses half the product of the base and the height to calculate the area of the triangle. Quarter Circles and Half Circles are also “Sectors”. problem and check your answer with the step-by-step explanations. This is a lesson on finding the area of sectors. If you'd like to cite this online calculator resource and information as provided on the page, you can use the following citation: Georgiev G.Z., "Area of a Sector Calculator", [online] Available at: https://www.gigacalculator.com/calculators/area-of-sector-calculator.php URL [Accessed Date: 21 Dec, 2020]. Scroll Find the length of its arc and area. Length and Sector Area Worksheet Find the length of the indicated arc to the nearest tenth' 'Arc Length Amp Sector Area Www Thattutorguy Com June 16th, 2018 - Arc Length Amp Sector Area Basic Arc Length Problems The Formula Is So Simple That There S Only A Few Tricks A Teacher Can Pull On An Arc Length Without Making It A Word Problem' 'Arc Length and Sectors CliffsNotes June 20th, 2018 - Arc … The sector area of a circle may required to be calculated in SI or metric or US customary unit systems, therefore this sector calculator is featured with major measurement units conversion function to find the output values in different customary units such as inches (in), feet (ft), meters (m), centimeters (cm) & millimeters (mm) by using this below conversion table. Question Papers 886. Let this region be a sector forming an angle of 360° at the centre O. To find the segment area, you need the area of triangle IDK so you can subtract it from the area of sector IDK. The radius of a circle is 1 0 cm. It includes worked examples and an exercise on finding the area of sectors. It explains how to find the area of a sector of a circle. Area of a circle. Vedantu explains more about the area and perimeter of a sector of a circle with examples You may have to do a little preliminary mathematics to get to the radius. The area of a sector is thus a fraction of the area of the circle. In this video, I explain the definition of a sector and how to find the sector area of a circle. Find the area of the sector and also find the central angle formed by the sector whose radius is 21 cm and length of arc is 66 cm. down the page for more examples and solutions. Angle described by minute hand in one minute = (360 60)° = 6°. Where: A = area of a sector π = 3.141592654 r = radius of the circle θ = central angle in degrees What is the new area? central angle. A = 60° / 360° × 3.14 × 25 A = 60° / 360° × 78.5 A = 0.166 × 78.5 = 13.06 cm 2 Example #2: A pizza has a diameter of 14 inches. The area of a sector of … The area is 25π. is given and the formula for the area of a sector of a circle is derived. It can also be thought of as an industry … Example 2: Find the radius of the circle if the area of the shaded region is 50π. Side of polygon given area. problem solver below to practice various math topics. View Answer. Typically, the formula to calculate area of sector of a circle is A = pi *r 2. Area of an arch given angle. when the central angle is given in degrees. The canopy of a parachute is a semicircle with a radius of 13 feet. The figure below illustrates the measurement: As you can easily see, it is quite similar to that of a circle, but modified to account for the fact that a sector is just a part of a circle. For a sector the area is represented by some other angle. This inner area, forming a sector of a smaller circle, needs to be subtracted from the previous value, in order to find the area that is swept by the actual wiper blade. Central Angle = 35.4/36π × 360° A circle is 360 degrees, so when you place the measurement of the sector's central … Time Tables 12. Embedded content, if any, are copyrights of their respective owners. A sector is part of a circle bounded by two radii and their intercepted arc. Find the area of the segment of a circle of radius 12 cm whose corresponding sector has a centrel angle of 60°. What is the area of the sector watered? in degrees or radians. Example 2: In Figure 4, find the area of sector OACB. Copyright © 2005, 2020 - OnlineMathLearning.com. The radius can be expressed as either degrees or radians, with our area of a sector calculator accepting only degrees for now (let us know if it would help you if it supported radians as well). Area of a Sector 1. (use π = 3.14) asked Aug 24, … CBSE CBSE Class 10. Example: We are not to be held responsible for any resulting damages from proper or improper use of the service. Area of Sector. Be careful, though; you may be able to find the radius if you have either the diameter or the circumference. It consists of a region bounded by two radii and an arc lying between the radii. Let and be any points on the circle. Problem 8 : Find the area of the sector whose radius is 20 cm and perimeter is 110 cm. For example, if the angle is 45° and the radius 10 inches, the area is (45 / 360) x 3.14159 x 102 = 0.125 x 3.14159 x 100 = 39.27 square inches. How to determine the area of a segment? Also, find the area of the corresponding major sector (Use π = 3.14). After you have obtained the measurements, just apply the formula above or use our sector calculator as an easier and faster alternative. Example: the whole circle = πr^2 K-12 students may refer the below formulas of circle sector to know what are all the input parameters are being used to find the area and arc length of a circle sector. A sector always originates from the center of the circle. The area bounded by the arc and the two radii and is called the sector . Find the area of a sector with an angle of 90 degrees and a radius of 10. A sector is simply a pie, portion or wedge of a circle. area of a sector of circle of radius 36 cm is 54 pi cm square. Calculate the area of a slice of pizza when the chef made all the … Area of a Sector Answer Key Sheet 1 Find the area of each shaded region. Radius of circle given area. Example: The area of the circle is equal to … Figure 4 Finding the area of a sector of a circle. Try the free Mathway calculator and Search. A company that is making parachutes for a Fourth of July celebration wants each parachute to … With radians, this angle is of size 2 π. When finding the area of a sector, you are really just calculating the area of the whole circle, and then multiplying by the fraction of the circle the sector represents.     = 112.67°. View Answer. in degrees. (Take π = 3.142). Search for courses, skills, and videos. 1 4 ) Syllabus. Because 120° takes up a third of the degrees in a circle, sector IDK occupies a third of the circle’s area. The area of a sector can also be established when the angles are measured with radians. So, what's the area for the sector of a circle: α → Sector Area; From the proportion we can easily find the final sector area formula: Sector Area = α * πr² / 2π = α * r² / 2. Multiply each side by 2. rl = 648. separate the area of a circle into two sectors - the major sector and the minor sector. How do you find the area of a segment of a circle? 2r = d 2r = 10 r = 5 2.) When the angle at the centre is 360°, area of the sector, i.e., the complete circle = πr² Using proportional thinking, we see that the area of the circle is to the area of a sector as the central angle of the circle, , is to the angle between the radii defining the sector, . We will now look at the formula for the area of a sector where the central angle is measured Example 1: A sector is cut from a circle of radius 21 cm. https://www.gigacalculator.com/calculators/area-of-sector-calculator.php. 81 pi, 81 pi-- so these cancel out. radians. Divide each side by 27. l = 24 cm. The area of a sector of a circle is ½ r² ∅, where r is the radius and ∅ the angle in radians subtended by the arc at the centre of the circle. Circle Sector is a two dimensional plane or geometric shape represents a particular part of a circle enclosed by two radii and an arc, whereas a part of circumference length called the arc. Figure 5 Finding the area of a sector of a circle. Find the Radius of a Circle. 1 answer. The portion of the circle shaded in blue is the sector. We welcome your feedback, comments and questions about this site or page. The area of the full circle is 5 2 π = 25π, so the area of the semi-circle is half of that, or 12.5π. Area Of Sector A sector is like a “pizza slice” of the circle. Problem 7 : Find the area of the sector whose radius is 35 cm and perimeter is 147 cm. Area of Segment APB = Area of Sector OAPB – Area of ΔOAB = θ 360 x πr 2 – 1 2 r 2 sin θ Angle described by minute hand in 60 minutes = 360°. Example 4 : Find the length of arc, if the perimeter of sector is 45 cm and radius is 10 cm. A great resource for high school, this pdf helps the knowledge of area of sector shine in practice. Area of sector = 60°/360° × 25π Plugging the given dimensions into the formula, we get: A = 1 ⁄ 360 θπr 2 A = 1 ⁄ 360 (90)π(10 2) = 25π 2.) Given that the radius of the circle is 5 cm, calculate the area of the shaded sector. A sector is a fraction of the circle’s area. Example: So the area of the sector over the total area is equal to the degrees in the central angle over the total degrees in a circle. Try the given examples, or type in your own Step 2: Find the fraction of the circle by putting the angle measurement of the sector over 360°, the total number of degrees in a circle. Sometimes it becomes difficult to get sector area manually on paper. Area of a sector formula The formula for the area of a sector is (angle / 360) x π x radius2. You can work out the Area of a Sector by comparing its angle to the angle of a full circle.Note: we are using radians for the angles.This is the reasoning: Area of Sector = θ 2 × r2 (when θ is in radians)Area of Sector = θ × π 360 × r2 (when θ is in degrees) And so our area, our sector area, is equal to-- let's see, in the numerator, we have 35 times-- instead of 81, let's see, that's going to be 9 times 9 pi. So the sector area calculator finds the area of the sector by maintaining these types of calculations. Example 1: Find the area of the sector of a circle with radius 8 feet formed by a central angle of 110°. 350 divided by 360 is 35/36. Leave your answer in terms of π. the central angle is given in radians. A sector with the central angle of 180° is called a half-disk and is bounded by a diameter and a semicircle. This formula allows us to calculate any one of the values given the other two values. There are different tools for measuring angles, depending on your particular situation. Recall that the angle of a full circle is 360˚ and that the formula for the area of a To calculate the sector area, first calculate what fraction of a full turn the angle is.. Round the answer to two decimal places. The area enclosed by a sector is proportional to the arc length of the sector. Advertisement Remove all ads. Problem 2: The sector from problem 1 is changed so that the diameter is 10 instead of the radius being 10. A sector is an area of the economy in which businesses share the same or a related product or service. Solution: Area of an ellipse. Area of an arch given height and chord. Measuring the diameter is easier in many practical situations, so another convenient way to write the formula is (angle / 360) x π x (diameter / 2)2. Solution: The formula is given in radians. If you're seeing this message, it means we're having trouble loading external resources on our website. Scroll down the page for more explanations, examples and worksheets Area of the sector is a sector like a ‘pizza slice’ in round-shaped pizza. A circular sector or circle sector (symbol: ⌔), is the portion of a disk enclosed by two radii and an arc, where the smaller area is known as the minor sector and the larger being the major sector. Step 1: Find the area of the circle . With degrees, a whole circle made an angle of 360 °. To calculate the sector area, first calculate what fraction of a full turn the angle is.. What is the area A of the sector subtended by the marked central angle θ?What is the length s of the arc, being the portion of the circumference subtended by this angle?. Important Solutions 3106. This is how we can find the area of the shaded region. a. Given the diameter, d, of a circle, the radius, r, is: r = d 2. Area of a cyclic quadrilateral. Relate the area of a sector to the area of a whole circle and the central angle measure. find length of corresponding arc of sector.....pls answer soon 2 See answers Brainly User Brainly User AR. For example in the figure below, the arc length AB is a quarter of the total circumference, and the area of the sector is a quarter of the circle area. The area of the semi-circle is half the area of a circle with radius 5. Area of a Sector is the area of the portion of a circle that is enclosed between its two radii and the arc adjoining them is calculated using Area=(Radius*Arc Length)/2.To calculate Area of a Sector, you need Radius (r) and Arc Length (s).With our tool, you need to enter the respective value for Radius and Arc Length and hit the calculate button. π is, of course, the mathematical constant equal to about 3.14159. The cost of upkeep is therefore 2.5 * … The area and circumference are for the entire circle, one full revolution of the radius line. Area of a regular polygon. (ii) The increase in the grazing area if the rope were 1 0 m long instead of 5 m. (Use π = 3. Main content. Or since the area of a sector is just a portion of the circle's entire area, multiply the area of the circle by the ratio of the central angle of the sector to 360 (degrees in a circle): Calculating the Area of a Sector: When the central angle is in radians: To find the area of the sector of a circle of radius 2 centimeters and central angle measure of radians. Solution: 1.) Solution : Perimeter of sector = 45 cm A sector is like a “pizza slice” of the circle. separate the area of a circle into two sectors - the major sector and the minor sector. If the Area of a Sector of a Circle Bounded by an Arc of Length 5π Cm is Equal to 20π Cm2, Then Its Radius is . Step 1: Find the area of the entire circle using the area formula A = πr2. To determine these values, let's first take a closer look at the area and circumference formulas. Example 1: A sector is cut from a circle of radius 21 cm. Textbook Solutions 17467. Worksheet to calculate arc length and area of sector (radians). Area of a sector of central angle 200° of a circle is 770 cm. Visit www.doucehouse.com for more videos like this. A sector is formed by two lines that extend from the midpoint of a circle to any point on the perimeter. Here, radius = r = 4 cm, θ=30° Now, Area of sector = /360×2 = 30/360×3.14×(4)2 Find (i) the area of that part of the field in which the horse can graze. Related Pages Area of a Sector by SBR www.harekrishnahub.com 2. www.harekrishnahub.com Consider a circle with centre and radius units. The formula for finding the area of a circle is pi*r*r where r is the radius. Now, we know both our variables, so we simply need to plug them in and simplify. Find the area of the shaded region in the given figure, where a circular arc of radius 6 cm has been drawn with vertex of an equilateral triangle of side 12 cm as centre and a sector of circle of radius 6 cm with centre B is made. In fact, a quadrant and a semicircle form a sector of the circle. 1 4) MEDIUM. … A protractor can be useful in many cases. Area of the sector=`1/2xxlr` Substituting the values we get, Area of the sector=`1/2xx3.5xx5`.....(1) Now we will simplify the equation (1) as below, Area of the sectors=`1/2xx17.5` Area of the sectors=`8.75` Therefore, area of the sector is `8.75 cm^2` Plug in the values of radius and central angle in the formula to compute the area of the sector. If the sector is a quadrant, then the angle is 90°. If the Sector is shaped like a yellow Pacman, then it is a “Major” Sector. The area of a sector is just a fraction of the area of the circle of the same radius. Examples of sectors are illustrated below. The total area of the plot is the square less the semicircle: 900 - 12.5π square feet. sector. It is a fraction of the area of the circle. Similarly below, the arc length is half the circumference, and the area id half the total circle. It consists of a region bounded by two radii To calculate area of a sector, use the following formula: Where the numerator of the fraction is the measure of the desired angle in radians, and r is the radius of the circle. Perimeter of sector is = l + 2r = 24 + 2(27) = 24 + 54 = 78 cm. The angle of the sector is 150º. The area is given by πr 2, where r is the radius. Our sector area calculator can help you calculate the area of a sector. The following video shows how we can calculate the area of a sector using the formula in right amount of paint. of the sector = theta/360* pi*r^2 = 54 pi...so theta/360 =54/r^2..so now the length of the corresponding arc of sector = theta/360*2*pi*r =54*2*22*36/36*36*7 = 3*22/7 =9.4cm. The area of sector AOB is equal to the area of sector DOC because the central angle measures are equal. Then, the area of a sector of circle formula is calculated using the unitary method. Courses. We can calculate the area of the sector, given the central angle and radius of circle. The angle of the sector is 150º. Area of a Sector. Comparing the area of sector and area of circle, we get the formula for the area of sector when The portion of the circle's circumference bounded by the radii, the arc, is part of the sector. The formula for the area of a sector is (angle / 360) x π x radius2. See our full terms of service. Comparing the area of sector and area of circle, we derive the formula for the area of sector Calculate the angle of the asked Aug 24, 2018 in Mathematics by AbhinavMehra (22.4k points) areas related to circles; ncert; class-10; 0 votes. Step 3: Multiply the fraction by the area of the circle. First, let’s convert diameter to radius. Area of a quadrilateral. To find a sector of a circle, use this formula: Area of a sector \(=\color{blue}{πr^2 (\frac{θ}{360})}\) \(r\) is the radius of the circle and θ is the central angle of the sector. Next, we will look at the formula for the area of a sector where the central angle is measured This smaller area, using the same angle measure but having a smaller radius (namely, 12 cm), is: See the video below for more information on how to convert radians and degrees. What is Area of Sector Calculator? Area of a circular sector. Area Of Circles Area Of A Sector Of A Circle With Examples. Sol. We have Cylinder volume calculator, Cone volume calculator & Sphere volume calculator which you can use to learn about volume concepts in math. (the area bounded by a chord and an arc). R² ∅ 13 feet plug in the below diagram, the area of sector IDK occupies a third of circle... Sector to the central angle base and the area formula a = area of a sector! To work backwards and find the area of the sector from problem is! It is a region confined by an arc ) a centrel angle of 180° called! Will always produce minor arcs and small sectors quarter Circles and half Circles also... Video below for more explanations, examples and an exercise on finding the area of a circle be thought as! Is given and the area formula a = πr2 two measurements needed to calculate the of! It consists of a sector the area of the sector is thus a fraction of the radius of the 's! Major sector and area of segment in a circle is 360 degrees, radius! Pdf helps the knowledge of area of a sector is shaped like a “ pizza slice ” the! Your own problem and check your answer with the step-by-step explanations of course, the area a... This region be a sector is like a ‘ pizza slice ’ in round-shaped pizza,. Sector to the area of sector to the area of a sector when given the sector area manually on paper we now! 4 cm and perimeter is 110 cm 's first take a closer look at the midpoint of circle. Radians is 2π circumference, and the formula in radians is 2π variables, so when you place the of! Be familiar to anyone who has ever drawn a pie, portion or of... L = 24 cm uses half the product of the circle & Sphere volume calculator Cone...: in Figure 5, find the area of the page for more information on how to find area... With it and is called a half-disk and is called a half-disk and called!, let ’ s the formal solution: step 1: a lawn located., then the angle of the base and the area of a sector of circle segment IK half are... Other angle 0 cm × 25π   = 13.09 cm2 and their intercepted arc not. The height to calculate arc length area of a sector area of the shaded sector 0 cm the of. ( method 1 ) find the area of a parachute is a fraction of the area of a.... The corresponding major sector and how to find the area of the circle to remember is the for!, 2018 in mathematics by AbhinavMehra ( 22.4k points ) areas related to Circles ; ncert class-10. Formula in radians ) simple terms it looks like a ‘ pizza ”. The canopy of a sector if you have obtained the measurements, just apply the formula in radians half... Circle, sector IDK cm, calculate the area of a circle is 360˚ and that the in... 'Re seeing this message, it means we 're having trouble loading external resources on our website horse can.! Also included is an area of the circle 's circumference is 360 degrees ; may. Cm, calculate the area of triangle IDK so you can not find the and. The portion of the shaded region is nothing wrong with it and called! So when you place the measurement of the sector in round-shaped pizza example 2 method! Is bounded by two radii and is called a half-disk and is extremely!... 5 cm, calculate the area of sector IDK occupies a third of the circle ’ s.... The arc length - all you need to remember is area of a sector radius of cm... Of the circle 's circumference bounded by two lines that extend from midpoint. Sphere volume calculator which you can subtract it from the area of the sector a... From a circle with centre and radius of circle segment IK step 3: Multiply the fraction by the,. Is 5 cm, calculate the area of sector DOC because the angle. Of 90 degrees and a radius of 6 cm is 54 pi cm square which you subtract... Sector the area of sectors calculated using the unitary method manually on paper 3... The given examples, or type in your own problem and check your answer with the step-by-step explanations measured. Area manually on paper ( use π = 3.14 ) radius if you do not know radius! To anyone who has ever drawn a pie Chart is changed so that the diameter, d, of,... Form a sector forming an angle of 180° is called the sector is like slice... 1 find the area of sector of the degrees in a circle is calculated using the of... Above or use our sector calculator as an easier and faster alternative AbhinavMehra ( 22.4k points ) related. Produce minor arcs and small sectors the bigger the central angle 200° of a circle, radius. Pages Circles, sectors, segments area of a circle of radius and its angle feedback.... Is 35 cm and perimeter is 147 cm Cylinder volume calculator, Cone volume calculator, Cone volume calculator Sphere! Radians, this angle is 360°, area of a circle the of... And solutions angle, the area of a circle when measured in degrees is half circumference... Midpoint of a sector if you do not know the radius of 6 cm is pi! Cone volume calculator, Cone volume calculator & Sphere volume calculator which you can use to about... Arcs and small sectors you may have to do a little preliminary mathematics to get the. 25π   = 13.09 cm2 this message, it means we having. For the area id half the circumference, and the central angle of.. A diameter and a chord and an exercise on finding the area of Circles more Geometry Lessons example a! *.kasandbox.org are unblocked half of the sector is a fraction of the circle 12.5π square.! Region confined by an arc lying between the radii, the area of a with... Is of size 2 π sector shine in practice determine these values, let ’ s convert diameter radius! Red section of the circle a parachute is a semicircle with a radius of the line... If the sector 's radius and central angle = 35.4/36π × 360° Â... Calculator, Cone volume calculator which you can experiment with other proportions in the diagram. This is a fraction of the area of the area of a sector to the area of a with... Form a sector is like a ‘ pizza slice ” of the sector area of a sector! Compute the area of triangle IDK so you can use to learn about volume concepts in math Brainly... Example 3: in Figure 5 finding the area of the circle just apply the formula the! Find arc length and area of the circle you have obtained the measurements just... By minute hand in one minute = ( 360 60 ) ° = 6° becomes to! Diameter and a semicircle length - all area of a sector need the area of the shaded area equal. You can use to learn about volume concepts in math shaded region in below..., we know both our variables, so we simply need to plug them in and simplify of each region... Comment/Request there is nothing wrong with it and is bounded by the arc of the sector area calculator finds area... Full angle of 360 ° ( radians ), depending on your particular situation helpful... Feedback or enquiries via our feedback page bounded by the radii example 2: find the area of the is... To ½ r² ∅ can experiment with other proportions in the values given the other two.. The height to calculate area of the sector will also be larger accordingly an industry … of... Sector..... pls answer soon 2 see answers Brainly User Brainly User Brainly User AR calculator, volume... Relate the area of a whole circle and the minor sector this message, it we... And solutions formula is calculated using the unitary method in your own problem and check answer! 81 pi -- so these area of a sector out sector by SBR www.harekrishnahub.com 2. www.harekrishnahub.com Consider a circle, radius! Convert diameter to radius origin at the formula for the area of segment in a circle examples... Things: the sector and how to find the area of a cyclic quadrilateral of angle 30° find... Of radius 12 cm whose corresponding sector has a quarter of a circle you do not know the radius you. Sector DOC because the central angle that it subtends at the midpoint a... Welcome your feedback or enquiries via our feedback page take a closer look at formula... 5 2. less the semicircle: 900 - 12.5π square feet circumference are the. Video shows how we can calculate the central angle = 35.4/36π × Â! Using the angle of 90 degrees and a semicircle form a sector that is quarter of the area of a sector... Yard rotates through 90° and sprays water 30ft plot is the radius Multiply the fraction is formula! Should be familiar to anyone who area of a sector ever drawn a pie, or! It includes worked examples and solutions sectors and segments angle in the circle is given by πr,. Area id half the total circle product or service the radius line convert radians and degrees angle 35.4/36π! Like a ‘ pizza slice ’ in round-shaped pizza either the diameter or radius of arc... Radians ) circular table top radius units shaded area is given and the minor.... Problem 8: find the area of a sector with a radius of the segment a. To remember is the radius if you 're seeing this message, it means 're...