Question

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

Answer 1

Area of circle = 3.14 x 15^2

= 3.14 x 225

= 706.5

706.5 x

--------- = -----------

360 45

Cross Multiplying

360 * x = 45 * 706.5

360x = 31,792.5

x = 88.3125

answer

area of the sector = 88.3125 ft^2

Answer 2

The formula for the area of a sector is: PI x r^2 x (X/360) where X is the degrees of the sector and r is the radius

r is given as 15 feet and X is given as 45 degrees.

The formula is: PI x 15^2 x (45/360) = 88.3125 square feet

Round the answer as needed.