SOLUTION: a circular garden has an area of 50 meter square.what is the area of a square that has the same perimeter as the garden?

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Question 1072813: a circular garden has an area of 50 meter square.what is the area of a square that has the same perimeter as the garden?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
pi%2AR%5E2=50
R%5E2=50%2Fpi
R=sqrt%2850%2Fpi%29
C=2%2Api%2AR
C=%282%2Api%29%2A%28sqrt%2850%2Fpi%29%29
C=2%2Asqrt%2850pi%29
For a square,
P=4s
and
A=s%5E2
A=%28P%2F4%29%5E2
So,
P=C
P=2sqrt%2850pi%29
p%5E2=4%2850pi%29
P%5E2=200pi
and,
A=P%5E2%2F16
A=%28200pi%29%2F16
highlight%28A=%2825pi%29%2F2%29m%5E2