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The area of circle, inscribed in equilateral triangle is 154 cms2. Find the perimeter of triangle.

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Let circle inscribed in equilateral triangle

Be with centre O and radius ‘r’

Area of circle = πr2

But given that area = 154 cm2.

πr2 = 154

22/7xr2=154

r2=7×7

r = 7cms

Radius of circle = 7cms

From fig. at point M, BC side is tangent at point M, BM ⊥ OM. In equilateral triangle, the perpendicular from vertex divides the side into two halves

ΔBMO is right triangle, by Pythagoras theorem

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