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PUZZLET 097

Circle in a Triangle

A circle is enclosed by an  isosceles triangle so that the circumference is just touching the two sides and base.

What base angle gives a ratio of  the the  triangle's  area to the area  of the circle equal to 2? 3? 4? 5?  Work to an accuracy of four decimal places.

           

Triangles


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Last Updated: January 13th, 2010.