# In a circle, a 90 degree sector has area of 36pi ftsqd. what is the radius of the circle?

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## Question:

In a circle, a 90 degree sector has area of 36pi ftsqd. what is the radius of the circle?

The radius of the circle is 12 ft.

### Quarter circle

Each quarter of a circle is formed when a circle is split into four equal sections. Each quarter of the circle is referred to as a quadrant. As a result, the area of a quarter circle equals four times the circle’s area.

Area = π×r²/4

Where, r is the radius of the circle.

### How to find the radius?

A 90° sector of a circle is called a quarter circle.

The area given in this sector is 36π ft².

then,

Hence the radius is 12 ft.

#SPJ2

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