SOLUTION: A square rock garden with sides of 80 feet is placed in the middle of a circular grass yard. If the circumference of the yard is 590 feet, then how much area is covered by grass?
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Question 1148755: A square rock garden with sides of 80 feet is placed in the middle of a circular grass yard. If the circumference of the yard is 590 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
Found 2 solutions by rothauserc, josgarithmetic:
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
Area of the square rock garden is 80 * 80 = 6400 square feet
:
2 * 3.14 * r = 590
:
r = 590 /(2 * 3.14) = 93.949
:
Area of circular grass yard = 3.14 * (93.949)^2 = 27714.9418 square feet
:
a) 27714.9418 - 6400 = 21314.9418 is approximately 21314.94 square feet covered by grass
:
b) there are 9 square feet in a square yard
:
21314.9418/9 = 2368.3269 is approximately 2368.33 square yards covered by grass
:
Answer by josgarithmetic(39625) (Show Source): You can put this solution on YOUR website!
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A square rock garden with sides of 80 feet is placed in the middle of a circular grass yard. If the circumference of the yard is 590 feet, then how much area is covered by grass?
--------------------------
Square Rock Garden
20 feet, each side
, area
Total Circular Region
, just the radius of the circular region
Area of just the grass: , in square feet.
Simplify and compute.
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