If you have a circle with a radius of 10 ft. how do you determine the area of a sector whose central angle measures 120?

Question

Mathematics

Tabitha Nixon

25 August, 21:10

If you have a circle with a radius of 10 ft. how do you determine the area of a sector whose central angle measures 120?

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Answers (1)

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Kayleigh Banks · Answer 1

The area of any circle is (pi) (radius) ²

The area of the whole circle is (pi) (10-ft) ² = 100 pi ft²

120° is 1/3 of 360°.

So the area of a 120° sector is 1/3 the area of the whole circle = (100/3) pi ft².