SOLUTION: A circular rock garden with a diameter of 60 feet is placed in the middle of a square grass yard. If the perimeter of the yard is 92 yards, then how much area is covered by grass?

Question 1148904: A circular rock garden with a diameter of 60 feet is placed in the middle of a square grass yard. If the perimeter of the yard is 92 yards, 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 Boreal(15235) (Show Source): You can put this solution on YOUR website!
Area of whole yard is 23^2 yds^2=529 yds^2
area of circle is pi*r^2, and r=10 yards (30 feet), so 100 pi yds^2=314 yds^2
the difference between the two is 215 yds^2, which is amount covered by grass.
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