Question

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

Answer 1

The radius of the circle is
`28\ in`

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=(1)/(4)\pi r^(2)`

we have

`A=196\pi\ in^(2)` ----> area of a quarter circle

so

`196\pi=(1)/(4)\pi r^(2)`

Simplify

`r^(2)=196*4`

`r=28\ in`