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?

Answer:

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.

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From the answer and question examples above, hopefully, they may help the student resolve the question they had been looking for and notice of everything stated in the answer above. You can then have a discussion with your classmate and continue the school learning by studying the subject jointly.

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