Question

A circle with radius 4 has a sector with central angle of 8/5pi radians.

Answer 1

(64/5)π units²

Explanation:

The area of this sector would be:

Given central angle

------------------------------ *(area of whole circle)

2π rad

In this case, the area of the sector is:

(8/5) π rad

------------------------------ * π(4 units)^2

2π rad

and this reduces to:

(4/5) * π*16 units² or (64/5)π units²