Question

In a​ circle, a 90° sector has area 64π in2. What is the radius of the​ circle and Arc length.

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

radius of circle is 16ft