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A triangle has side lengths of 10, 24, and 26.  Let a be the area of the circumcircle, and let b be the area of the triangle.  Compute a - b in terms of pi.

 Jan 9, 2021
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A triangle has side lengths of 10, 24, and 26.  Let a be the area of the circumcircle, and let b be the area of the triangle.  Compute a - b in terms of pi.    

 

Hint:   Recognize that a 10, 24, 26 triangle is a right triangle, so the right angle subtends half of the circle, or in other words the hypotenuse is a diameter of that circle.  Will that get you going?  

 Jan 9, 2021

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