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easiest way of finding an area of an inscribed polygon

 May 3, 2015

Best Answer 

 #1
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I assume you mean it's inscribed in a circle.  

If so, chop it up into isosceles triangles, where the apex of each triangle is at the centre of the circle, and the two equal sides of each triangle are radii, length r, of the circle.

The base of a triangle with apex angle, A, is given by 2r*sin(A/2).  

If it's a regular polygon, with n sides, then A = 360°/n.

.

 May 4, 2015
 #1
avatar+33661 
+5
Best Answer

I assume you mean it's inscribed in a circle.  

If so, chop it up into isosceles triangles, where the apex of each triangle is at the centre of the circle, and the two equal sides of each triangle are radii, length r, of the circle.

The base of a triangle with apex angle, A, is given by 2r*sin(A/2).  

If it's a regular polygon, with n sides, then A = 360°/n.

.

Alan May 4, 2015

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