Question

A circle with area 16pi has a sector with a central angle of 8/5pi radians. What is the area of the sector?

Answer 1

Answer:

The area of the sector is $12.8\pi\ units^2$

Step-by-step explanation:

we know that

The area of a complete circle (16π 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 8π/5 radians

$\frac{16\pi}{2\pi}=\frac{x}{(8\pi/5)}\\\\x=8(8\pi/5)\\\\x= 12.8\pi\ units^2$

Answer 2

Answer: 12.8pie

Step-by-step explanation: