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A circle with radius 9 has a sector with a central angle of 120 degrees. What is the area of the sector?
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A circle with radius 9 has a sector with a central angle of 120 degrees. What is the area of the sector?

A circle with radius 9 has a sector with a central angle of 120 degrees. What is the-example-1
User Tamira
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1 Answer

5 votes

Answer:

A = 27π units²

Explanation:

Note that a central angle of 120 degrees corresponds to 1/3 of a full circle.

The area of the full circle is A = πr², or A = π(9 units)² = 81π units², and so

the area of the sector in question is 1/3 of that, or A = 27π units²

User Sjoseph
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