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how many square yards of roof are required on a roundhouse that occupies 220 degrees of a circle?

The outer edge of the roof has a radius of 225 feet, and the inner edge of the roof has a radius of 110 feet.

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1 Answer

Step 1. Calculate the area of the ring in square yards:

pi (225^2 - 110^2)(1/3)^2 yd^2

Step 2. Calculate the fractional part of the ring:

(220/360) pi (225^2 - 110^2)(1/3)^2  = 8218.077 yd^2 <==Answer


Robert, you might want to make a note that the (1/3)^2 is due to the conversion from feet to yards. 

Thanks for your comments.