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

Question

asked Aug 5, 2020 196k views

1 Answer

Sweetzyl Pili · Answer 1 · 2020-08-11T20:19:17+0000

Answer:

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

$r=28\ in$