Asked by  | 13th Feb, 2009, 10:20: PM

Expert Answer:

If r is the radius of the inscribed circle i.e. the radius of the incircle of the triangle, then there's a formula, which connects r, the area of the triangle and the perimeter of the triangle.

It say

r=area of the circle/perimeter of the circle.

Let the side of the equilateral triangle be a.

So perimeter =3a


We are given that,

area of the inscribed circle is 616 sq. cm.

so ,


solving we get,


Substitute this value in the formula for area of the triangle and the perimeter.

This will give you the value of a.

So perimeter=3a.

Answered by  | 14th Feb, 2009, 06:09: PM

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