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

Answer:

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

Step-by-step 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

$\frac{9\pi}{2\pi}=\frac{x}{(\pi/9)}\\\\x=4.5(\pi/9)\\\\x= 0.5\pi\ units^2$