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A circle has a sector with area 27pi and central angle of 120 degrees. What is the area of the circle

User Rialgar
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2 Answers

2 votes

Answer:

Explanation:

81pi

User Joshua Zollinger
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3 votes

Answer:

81 π

Explanation:

The total central angle for a circle is 360 degrees.

In the question the sector with angle 120 degrees has area 27π.

So the circle can be considered as a combination of 3 sectors having angle 120 degrees each. Refer to the figure below.

Thus area of the circle will be three times of the area of the sector.

Area = 3 × 27π = 81π

A circle has a sector with area 27pi and central angle of 120 degrees. What is the-example-1
User Sana Mumtaz
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