Incircle area in 3-4-5 triangle?

This short demonstrates an intriguing fact about the area of the incircle of the 3-4-5 right triangle. Using two different methods of computing the area of the 3-4-5 rectangle, we find that the inradius has a length of one so that the area of the incircle is Pi!

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To see a related video, showing the general connection between the area of a triangle and the inradius, see    • Triangle Area from Inradius and Semip...  

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