SOLUTION: The diagnolas of a rhombus are 12 and 24. Find the radius of the circle inscribed in the rhombus.

Question 37284: The diagnolas of a rhombus are 12 and 24. Find the radius of the circle inscribed in the rhombus.
Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
If its diagonals are 12 and 24, and they meet at right angles, the side of the rhombus is the Pythagorean sum of 6 and 12, which is sqrt(180) or 6*sqrt(5). Since the circle fits as tightly as possible within the rhombus, I'm thinking its diameter is the same. Hence the radius is 3*sqrt(5).
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