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