SOLUTION: Find the ratio of the area of the small square to the area of the large square http://tinypic.com/r/c8ade/6 (the diagram)

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Question 731997: Find the ratio of the area of the small square to the area of the large square
http://tinypic.com/r/c8ade/6 (the diagram)
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
If the measure of the side of the small square is a, its area is a%5E2 .
The Pythagorean theorem says that the diagonal of the small square is a%2Asqrt%282%29=sqrt%28a%5E2%2Ba%5E2%29=sqrt%282a%5E2%29.
Since that is the diameter of the circle, and the side of the large square,
the area of the large square is %28a%2Asqrt%282%29%29%5E2=2a%5E2
Then, the ratio of the areas is 2a%5E2%2Fa%5E2=highlight%282%29 .