Question 567726: The area of a 60 degree sector of a circle is 36pi cm^2. What is the diameter of the circle? Found 2 solutions by stanbon, Alan3354:Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! The area of a 60 degree sector of a circle is 36pi cm^2. What is the diameter of the circle?
That sector has 1/4 of the total area of the circle.
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Area of the circle = 4(36pi) = 144pi
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Area = (pi)r^2
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Equation:
(pi)r^2 = 144pi
r^2 = 144
r = 12
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Diameter = 2r = 24 cm
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Cheers,
Stan H.
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You can put this solution on YOUR website! The area of a 60 degree sector of a circle is 36pi cm^2. What is the diameter of the circle?
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1/6 of the circle has an area of 36pi
The whole circle's area = 216pi cm
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