SOLUTION: a square is inscribed in a circle. A side of the circle is 2 radical 2. find circumference of the circle. Leave anser in terms of pi.

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Question 3163: a square is inscribed in a circle. A side of the circle is 2 radical 2. find circumference of the circle. Leave anser in terms of pi.
Answer by longjonsilver(2297) About Me  (Show Source):
You can put this solution on YOUR website!
a couple of assumptions by me to answer your question:

1. i assume you mean "2 radical 2" is 2sqrt%282%29
2. i assume this is the length of a side of the square and not circle.

Cut the square in half from one corner to the opposite corner, creating 2 right angled triangles. Use Pythagoras, to find the hypotenuse, a:

a%5E2+=+%282sqrt%282%29%29%5E2+%2B+%282sqrt%282%29%29%5E2
so a%5E2+=+16.
Hence a=4

a is the diameter of the circle, so, as the circumference = pi*a. the answer is 4pi.

jon.