Question

A circle has a sector with area 64/5 pi

and central angle of 8/5 pi
radians.
What is the area of the circle?
Either enter an exact answer in terms of it or use 3.14 for and enter your answer as a decimal.
3 of 4
.

Answer 1

The area of the circle is
`16\pi\ units^2`

Explanation:

we know that

The area of complete circle subtends a central angle of 2pi radians

so

using proportion

Find the area of the circle

`((64\pi/5))/((8\pi/5))= (x)/(2\pi)\\\\x=2\pi(64)/8\\\\x=16\pi\ units^2`