Question

In a circle, a 90° sector has area 64π ft2. Solve for the radius of the circle. A. 16 ft. B. 12 ft. C. 18 ft. D. 8 ft.

Answer 1

The answer is A. Working the formula backwards you get that r^2=256, so r=16

Answer 2

The radius of circle is 16 ft

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=}(\theta)/(360^(\circ))* \pi r^2`

`64\pi =(90^(\circ))/(360^(\circ))* \pi r^2`

`256=r^2`

`r=√(256)=16 ft`

The radius of circle is 16 ft

Option A is correct.