Answer:
The radius of circle is 16 ft
Step-by-step explanation:
Given in a circle a 90° sector has area \(64\pi ft^2\)
we have to find the radius of circle.
Sector angle=90°
\(Area=64\pi ft^2\)
The formula to find the area of sector is
\(\text{Area of sector=}\frac{\theta}{360^{\circ}}\times \pi r^2\)
\(64\pi =\frac{90^{\circ}}{360^{\circ}}\times \pi r^2\)
\(256=r^2\)
\(r=\sqrt{256}=16 ft\)
The radius of circle is 16 ft
Option A is correct.
