SOLUTION: A square rock garden with sides of 90 feet is placed in the middle of a circular grass yard. If the circumference of the yard is 520 feet, then how much area is covered by grass?

Question 1148876: A square rock garden with sides of 90 feet is placed in the middle of a circular grass yard. If the circumference of the yard is 520 feet, then how much area is covered by grass?
For all calculations involving π, use π≈3.14.
Hint: Be careful that you do not do any rounding on answers until the very end of a problem part, or you could create rounding error.
a) Amount of area covered by grass, measured in square feet = Blank square feet.
DO NOT TYPE COMMAS. Round your answer to 2 decimal places as needed.
b) Amount of area covered by grass, measured in square yards = blank square yards.
Round your answer to 2 decimal places as needed

Answer by addingup(3677) (Show Source): You can put this solution on YOUR website!
Area of the square: 90^2 = 8100 square feet
Area of the circumference: (520/2)^2 x 3.14 = 212264 square feet
a) Amount of area covered by grass, measured in square feet = 212264 - 8100 = 204164
b) Amount of area covered by grass, measured in square yards = 204164/3 = 68054.67
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