I want to know how to construct circle that touch quadrantal(1/4 part of circle) internally.

I spend several hours for solving this problem but I have no luck.

I attached the picture what I've tried

could somebody please tell me how to construct step by step?

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What's the radius of the smaller circle? –  Guess who it is. Sep 29 '11 at 4:48
it's euclid construction. none of values are provided –  kim taeyun Sep 29 '11 at 4:55
@J.M.: I'm assuming kim want's the inscribed circle –  Codie CodeMonkey Sep 29 '11 at 5:02
Oh, like this? –  Guess who it is. Sep 29 '11 at 10:26