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For the triangle below, let x be the area of the circumcircle, and let y be the area of the incircle. Compute x-y

 

 Jul 19, 2023
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You should have given one side of the triangle.

 

Side = 1

 

Equilateral triangle.

Sides: a = 1   b = 1   c = 1

 

Inradius: r = 0.289
Circumradius: R = 0.577

 

Area of a circle ==r^2 * Pi

 

x == 0.577^2  *  Pi ==1.0459273 u^2 - area of the circumcircle

y == 0.289^2 *  Pi ==0.26238896 u^2 - area of the incircle

x  -  y ==1.0459273 - 0.26238896 ==0.78353834 u^2 - difference between the area of circumcircle and the incircle.

 

Note: if you know the side of the equilateral triangle, then multiply everything in this answer by that side.

 Jul 19, 2023

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