Question

What is the area of sector AEB when AE = 8 yd? 16π yd2 2π yd2 8π yd2 4π yd2

Answer 1

16π yards²
To make things a little simpler to start off, convert the angle of the sector AEB into radians. It's 90 degrees, which is equivalent to π/2 radians.

Plug π/2 into the formula for finding the area of a sector, along with the value of 8 for r, the radius:

$A=1/2r^2$(angle in radians)

$A=1/2(8)^2( \frac{ \pi}{2} )$

When you simplify that down, you get A = 16π so the answer is 16π yards²