Question

Find the area of the green sector if ∠ A = 45° and the circle has a radius of 10 inches.

A)25π
B)5π4
C)5π2
D)25π2

Answer 1

The answer to this is (D)

Answer 2

D) 25π/2 in²

Explanation:

The area of a sector of central angle θ and radius r is ...

... A = (1/2)r²θ

Your sector has central angle π/4 and radius 10 in, so has area ...

... A = (1/2)(10 in)²(π/4)

... A = 25π/2 in² . . . . matches selection D