SOLUTION: A landscape architect used the entire length of an 80-foot rope to lay out a flower bed in the shape of a square. in another area, he used the entire length of the same rope to lay

Algebra ->  Circles -> SOLUTION: A landscape architect used the entire length of an 80-foot rope to lay out a flower bed in the shape of a square. in another area, he used the entire length of the same rope to lay      Log On


   

Question 490553: A landscape architect used the entire length of an 80-foot rope to lay out a flower bed in the shape of a square. in another area, he used the entire length of the same rope to lay out a second flower bed in the shape of a circle. The perimeter of the square is 80 feet. The circumference of the circle is 80 feet. How many square feet greater is the area of one flower bed than the other? ( use 3.14 for pie) * if possible could you please explain how you got your answer , i couldnt solve this problem for hours!
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A landscape architect used the entire length of an 80-foot rope to lay out a flower bed in the shape of a square. in another area, he used the entire length of the same rope to lay out a second flower bed in the shape of a circle. The perimeter of the square is 80 feet. The circumference of the circle is 80 feet. How many square feet greater is the area of one flower bed than the other? ( use 3.14 for pie)
:
A square with a perimeter of 80 ft,
one side: 80/4 = 20 ft
Area = 20^2
A = 400 sq/ft
:
A circle with a circumference of 80 ft, find r
C = 2%2Api%2Ar
2*3.14*r = 80
6.28r = 80
r = 80%2F6.28
r ~ 12.74 ft is the radius
Find the area
A = pi%2Ar%5E2
A = 3.14*12.74^2
A = 509.55 sq/ft
:
Difference
509.55
400.00
------
109.55 sq/ft difference