SOLUTION: 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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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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Answer by Alan3354(69443) (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?
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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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