Question

What is the area of a sector with radius 10\" and measure of arc equal to 45°?

Answer 1

Area of sector of circle = 39.27 square inches.

Explanation:

Given that,

Radius of sector = 10 inches.

Measure of arc = 45°

We have a formula to find the area of sector of circle:

Area =
`\pi r^(2) ((\alpha )/(360) )`

where,

r is radius

α is angle in degree

Area =
`\pi(10^(2) )((45)/(360) )`

Area = 100*0.125π

Area = 12.5π

or Area = 39.269 ≈ 39.27 sq in

That's the final answer.

Answer 2

The area of a sector is:
A = 45°/360° · r² π = 0.125 · 10² · 3.14 = 0.125 · 314 = 39.25 in²