SOLUTION: If a square with a side of π is inscribed in a circle, what is the circumference of the circle?

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Question 342293: If a square with a side of π is inscribed in a circle, what is the circumference of the circle?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
If a square with a side of π is inscribed in a circle, what is the circumference of the circle?
:
Draw this out, you can see that the diameter of the circle is the hypotenuse of the square, which has sides of pi
:
d = sqrt%28pi%5E2%2Bpi%5E2%29
d = sqrt%282%28pi%5E2%29%29
d = pi%2Asqrt%282%29
Circumference = pi * diameter, therefore
c = pi%2Api%2Asqrt%282%29
c = pi%5E2%2Asqrt%282%29
using your trust calc
c = 13.9577 is the circumference