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

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.

Answer 2

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