SOLUTION: Suppose the area of a circle is numerically equal to the perimeter of a square and that the length of a radius of the circle is equal to the lenght of a side of the square. Find th

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Question 507047: Suppose the area of a circle is numerically equal to the perimeter of a square and that the length of a radius of the circle is equal to the lenght of a side of the square. Find the length of a side of the square. Express answer in terms of pi
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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Suppose the area of a circle is numerically equal to the perimeter of a square and that the length of a radius of the circle is equal to the length of a side of the square.
Find the length of a side of the square. Express answer in terms of pi
:
let s = side of the square
then
4s = the perimeter of the square
:
It says,"the area of a circle is numerically equal to the perimeter of a square" therefore
pi%2Ar%5E2 = 4s
and
"the length of a radius of the circle is equal to the length of a side of the square." therefore:
r = s
:
In the 1st equation, replace r with s
pi%2As%5E2 = 4s
divide both sides by s
pi%2As = 4
divide both sides by pi
s = 4%2Fpi