Question

a circle with radius 5 has a sector with a central angle of 9/10pi radians what is the area of the sector

Answer 1

(9 / 10) * PI radians = .9 * PI = 2.8274333882 radians

Sector Area = Central Angle in Radians / 2 * radius^2

Sector Area = 2.8274333882 / 2 * 5 * 5

Sector Area = 1.4137166941 * 25

Sector Area = 35.3429173525

Using degrees:

Sector Area = (162 degrees / 360) * PI * radius ^2

Sector Area = .45 * PI * 25

Sector Area = 35.342917352

Explanation: