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Sun 29 Jun, 2008 09:41 am
A square is inscribed in a circle of radius 4cm. A circle is inscribed in this square and again a square is inscribed in this circle. What is the ratio of the area of the bigger square to that of the smaller square?
Please Help!!
I won't do this for you (as I am too old to do homework). But, I will help put you in the right direction. First... let's get some basic questions out of the way
1. Tell me the area of the outer square.
2. Tell me the radius of the circle.
3. Draw a picture (you don't need to worry about posting it, but drawing a picture is important for the next step).
4. Tell me the diagonal of the inner square (how long is it from upper-right corner, to lower-left corner). Hint: your answer for #2 is important.
If you figure these out, and still need help. Let me know and we will go on with the next step.
Hint it's the same as the circle circumscribing the square as the circle inscribed in the square.
I agree with ebrown, draw the problem out on paper and use what you know about Pythagoras.
Rap
I was holding off even hinting at the punchline. There is a learning moment in this problem.
I was given 15 seconds to solve this problem once. I got it