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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Durannataliaw Durannataliaw

12-05-2015
Mathematics

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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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AL2006 AL2006 · Answer 1 · 2015-05-12T21:17:25-04:00

AL2006 AL2006

12-05-2015

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.

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