SSC CGL 2016 PYQ — Question 18

SSC CGL Tier II Quant - 30/11/2016 • Quantitative Aptitude • Q18

An equilateral triangle of side 6 cm is inscribed in a circle. Then radius of the circle is _____.

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 2√3 cm

Side of equilateral triangle = 6 cm 

Median of equilateral triangle = √3/2 × 6 = 3√3 cm

Hence,

Radius of circle, AO = 2/3 × 3√3 = 2√3 cm