Question

In a circle, a 90-degree sector has area 196 pi in^2. What is the radius of the​ circle?

Answer 1

Answer:

The radius of the circle is $28\ in$

Step-by-step explanation:

we  know that

In a circle, a 90-degree sector represents a quarter of the circle area.

The area of a quarter circle is equal to

$A=\frac{1}{4}\pi r^{2}$

we have

$A=196\pi\ in^{2}$ ----> area of a quarter circle

so

$196\pi=\frac{1}{4}\pi r^{2}$

Simplify

$r^{2}=196*4$

$r=28\ in$