SOLUTION: If a square with a side of 5 is inscribed in a circle, what is the circumference of the circle?

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Question 737103: If a square with a side of 5 is inscribed in a circle, what is the circumference of the circle?
Answer by MathLover1(20850) About Me  (Show Source):
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Since the square is inscribed in a circle, the vertices of the square touches the circle. Hence the diameter of the circle is the diagonal of the square.
Now, the length of the diagonal is obtained by using Pythagoras theorem, and the area and the diameter is
d%5E2=5%5E2%2B5%5E2
d%5E2=25%2B25
d%5E2=50
d=sqrt%2850%29
d=7.07
then radius is r=d%2F2=7.07%2F2=3.535
so, the circumference of the circle is:
circumference=2r%2Api
circumference=2%2A3.535%2A3.14
circumference=22.1998