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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.

 Jun 16, 2021
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We  have  a  10- 24 - 26  right  triangle

 

Area   =  10  *  24   /  2     =    120

 

Circumcenter is  at  the  midpoint of the hypotenuse  and  the  circumradius  =  26/ 2  =   13

 

So   area of  circumcircle  =    pi * 13^2   =   169  pi

 

a -  b    =

 

169 pi   - 120

 

 

cool cool cool

 Jun 16, 2021

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