21-04-2020
Mathematics

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a circle has a sector with area 27pi and central angle of 120 what is the are of the circle?
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21-04-2020

The whole central angle is 360. So, a central angle of 120 generates a sector which is one third of the whole cimcumference.

So, the area of the circle is three times the area of the sector, i.e.

[tex]27\pi\cdot 3=81\pi[/tex]

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