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?
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-> 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?
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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
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
You can put this solution on YOUR website! .
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
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Calculations in the post by @addingup are fatally wrong.
I came to bring a correct solution.
Area of the square is 90^2 = 8100 sq. feet.
Area of the circle is = = = = 21528.66 sq. feet.
(a) The area covered by grass is 21528.66 - 8100 = 13428.66 sq. feet.
(b) Measured in square yards, this area is = 1119.06 sq. yards (rounded).
