Question

What is the area of the sector bound by the center of the circle and arc CD in the circle below?

9.42 ft2
19.54 ft2
34.89 ft2
88.31 ft2

(r = 6 ft) (Angle A= 30)

Answer 1

9.42 ft2

Explanation:

The area of the circle is

A = pi r^2

A =pi *6^2

A = (3.14) *36

A = 113.04

The arc is 30 degrees

There are 360 degrees in a circle

30/360 = 1/2

The arc is 1/12 of the circle, so the arc's are is 1/12 of the area of the circle

1/12 (113.04)

9.42 ft^2