SOLUTION: A large circle of radius 1 is drawn tangent to perpendicular rays. Find the radius of the smaller circle that is placed in the space. Show all work and give an exact answer - no

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Question 736440: A large circle of radius 1 is drawn tangent to perpendicular rays. Find the radius of the smaller circle that is placed in the space.
Show all work and give an exact answer - no rounding at any time, and no decimals.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A large circle of radius 1 is drawn tangent to perpendicular rays.
Find the radius of the smaller circle that is placed in the space.
:
Note the 1" square formed by two perpendicular radii and the two rays
Find the diagonal of this square: sqrt%281%5E2%2B1%5E2%29 = sqrt%282%29
the diameter of the circle in the space will be the diagonal - radius of the large cicle: sqrt%282%29+-+1
the radius of the small circle then: %28sqrt%282%29-1%29%2F2