Question

a circle has an area of 1375 sq.cm if a sector of the circle has an area of 275 sq .cm , find its angular measure

Answer 1

The angular measure of the circle is (θ)  = 72°

Step-by-step explanation:

Given data:

• Area of circle = 1375 cm²
• Area of Sector = 275 cm²

We have formula for area of circle :

Area = πr^2

r^2 = 1375 / π

Now use formula for area of sector :

Area = πr^2 (θ) / 360°

Put value of r^2.

275 =  π 1375 / π (θ) / 360°

275 =   1375 (θ) / 360°

275  x 360 = 1375 (θ)

9900 = 1375 (θ)

(θ) = 9900 / 1375

(θ)  = 72°

Hence the angular measure of the circle is (θ)  = 72°

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Area of sector of a circle of radius 36 cm is 54πcm².find the length of the corresponding arc of the sector. ?

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