SOLUTION: 6) A square rock garden with sides of 130 feet is placed in the middle of a circular grass yard. If the circumference of the yard is 570 feet, then how much area is covered by gras

Algebra ->  Surface-area -> SOLUTION: 6) A square rock garden with sides of 130 feet is placed in the middle of a circular grass yard. If the circumference of the yard is 570 feet, then how much area is covered by gras      Log On


   



Question 1120500: 6) A square rock garden with sides of 130 feet is placed in the middle of a circular grass yard. If the circumference of the yard is 570 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 a rounding error.
a) Amount of area covered by grass, measured in square feet =
b) Amount of area covered by grass, measured in square yards =

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Knowing the circumference of the circle, you can calculate the radius by:



Leave the answer in terms of for the time being.

Knowing the radius you can calculate the Area





Find the area of the square by squaring the measure of a side. Subtract the area of the square from the area of the circle. There are 9 square feet in a square yard.


John

My calculator said it, I believe it, that settles it