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A circle has a sector with area 27 and central angle of 120
What is the area of the circle?
Either enter an exact answer in terms of
or use 3.14 for it and enter your answer as a decimal.

A circle has a sector with area 27 and central angle of 120 What is the area of the circle Either enter an exact answer in terms of or use 314 for it and enter class=

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opudodennis

Answer:

81π

Step-by-step explanation:

-The sum of central angles in a  circle add up to 360°.

-Let x be the area of the circle.

-Given the area of a 120° is 27π, the circles area can be calculated as:

[tex]A=27\pi\\\\120\textdegree=27\pi\\360\textdegree=x\\\\\therefore x=\frac{360\textdegree\times 27\pi}{120\textdegree}\\\\=3\times 27\pi\\\\=81\pi[/tex]

Hence, the area of the circle is 81π

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