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( ( \pi)/(2) )`

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