Question

What is the area of the sector bound by the center of the circle and arc CD in the circle below? radius equals 10 feet central angel is 40 degrees

Answer 1

a = (1/2) r^2 α (α must be in radians)
a = (1/2) r^2 α *(pi/180) (to convert to radians)

a = (1/2) * 10^2 * 40 * (pi/180)
a = (100 pi) / 9 ft^2 EXACT answer
a = 34.89 ft^2 decimal approximmation