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:
[tex]A=1/2r^2[/tex](angle in radians)
[tex]A=1/2(8)^2( \frac{ \pi}{2} )[/tex]
When you simplify that down, you get A = 16π so the answer is 16π yards²
