how to find the perimeter of a circle sector The perimeter of the sector of a circle is the length of two radii along with the arc that makes the sector In the following diagram a sector is shown in yellow colour The perimeter should be calculated by doubling the radius and then adding it
Finding the perimeter of a sector is easy Use the formula Perimeter 2 radius arc length All you have to do is Multiply the radius by two which gives the circle s diameter Add the result from Step 1 to the arc length of the sector The result is the perimeter of the sector of the circle The total length of the circumference of the circle extends within the angle is a perimeter of a sector of a circle or in other words the sum of the lengths of the arc and the two radii Formula to calculate the perimeter of a sector of a circle 2 Radius 360 2 r
how to find the perimeter of a circle sector
how to find the perimeter of a circle sector
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Find the perimeter of the sector below giving your answer to 1 decimal places The sector has a central angle of 278 and a radius of 9 6 cm The perimeter of a sector P 2 r L L 180 r where P is the perimeter L is the arc length is the central angle and r is the radius of the circle We can find the perimeter of a sector using what we know about finding the length of an arc A sector is formed between two radii and an arc To find the perimeter we need to add these values
Here we will learn about calculating the perimeter of a sector including how to find the perimeter of a sector with a given angle and radius and how to find the radius of a circle when given the perimeter of the sector Find the area and perimeter of a sector with a radius of 10 feet and an arc length of 12 56 feet Solution The radius of sector r 10 feet Arc length l 12 56 feet Area of the sector without an angle frac lr 2 frac 12 56 times10 2 62 8 sq feet Perimeter of sector 2r l 2 10 12 56 32 56 feet
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Perimeter of a Sector of a Circle The perimeter of a circle sector is the combined length of two radii and the arc that forms the sector The formula to calculate the perimeter of a sector is derived below Derivation Perimeter P of a sector radius r radius r arc length L 2 radius r arc length L 2r L The perimeter of a circle sector is the length of the two radii plus the length of the arc The formula for finding the perimeter of a circle sector is P pi R dfrac alpha o 180 o P R 180o o Or P 2R alpha R P 2R R
A circle has an angle of 2 and an Area of r2 A Sector has an angle of instead of 2 so its Area is 2 r2 Which can be simplified to 2 r2 Area of Sector 2 r 2 when is in radians Area of Sector 360 r 2 when is in degrees How to calculate the perimeter of a sector In order to calculate the perimeter of a sector Find the length of the radius Find the size of the angle creating the sector Substitute the values you know into the formula for the arc length Add together the arc length and the two radii Calculate the answer
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how to find the perimeter of a circle sector - Example The perimeter of a sector of a circle of radius 5 6 cm is 27 2 cm Find the area of the sector Solution Let O be the centre with radius 5 6 cm and let OAB be its sector as shown in figure above with perimeter 27 2 cm