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In a​ circle, a 90degrees sector has area 144pi in2. What is the radius of the​ circle?

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Answer:

The radius of the circle is 24 inches.

Explanation:

Central angle in a sector is 90 degrees

Area of a sector is
144\pi\ \text{inch}^2

The area of sector is given by the formula as follows :


A=(\theta)/(360)\pi r^2

r is the radius of circle


r=\sqrt{(360 A)/(\theta \pi)} \\\\r=\sqrt{(360 * 144\pi )/(90* \pi)} \\\\r=24\ \text{inch}

So, the radius of the circle is 24 inches.

User Ethan Mick
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