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 104 yards, then how much area is covered by grass?

Algebra ->  Volume -> 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 104 yards, then how much area is covered by grass?      Log On


   

Question 1102121: 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 104 yards, then how much area is covered by grass?
Found 2 solutions by ikleyn, greenestamps:
Answer by ikleyn(52915) About Me  (Show Source):
Answer by greenestamps(13216) About Me  (Show Source):
You can put this solution on YOUR website!


The other tutor appears to have misread the problem....

The perimeter of the square yard is 104 yards, or 312 feet; so the square is 312/4 = 78 feet on a side.

The area of the yard in square feet is then 78^2 = 6084

The diameter of the rock garden is 60 feet, so the radius is 30 feet; the area in square feet is (pi)r^2 = 900*pi.

The area of grass in square feet is then 6084-900%2Api=+3257 to the nearest whole number.