Question

A circle with the area of nine pi has a sector with a central angle of 1/9 pi radians what is the area of the sector

Answer 1

The area of the sector is
`0.5\pi\ units^2`

Explanation:

we know that

The area of a complete circle (9π units^2) subtends a central angle of 2π radians

so

using proportion

Find out the area of a sector , if the central angle is equal to π/9 radians

`(9\pi)/(2\pi)=(x)/((\pi/9))\\\\x=4.5(\pi/9)\\\\x= 0.5\pi\ units^2`