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ICSE Class 10 Answered

An equilateral triangle is  inscribed in a circle , find the radius of the circle.
Asked by pritgambhwa | 01 Mar, 2019, 06:27: PM
answered-by-expert Expert Answer
Figure shows an equilateral triangle of side a is inscribed in a circle. Centroid of Triangle, centre of circle coincide due to symmetry.
Hence point O divides the perpendicular line AD in the ratio 2 : 1. 
 
If AD = h = (√3/2)a  , then radius of circle OA = (2/3)×(√3/2)a = a/√3 = √3a/3
Answered by Thiyagarajan K | 01 Mar, 2019, 07:54: PM

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