The circumradius of an equilateral triangle is 8 cm. The inradius of the triangle · ABC26GN4637
Subject: General Aptitude · Chapter: Area
The circumradius of an equilateral triangle is 8 cm. The inradius of the triangle
(a)3.25 cm
(b)4 cm
(c)3.5 cm
(d)4.25 cm
Answer
Explanation
$\frac{a}{\sqrt{3}}=8 \Rightarrow \frac{a}{2 \sqrt{3}}=\frac{1}{2} \times 8=4 \mathrm{cm}$. $\left[\because\right.$ circum radius $=\frac{a}{\sqrt{3}}$, inradius $\left.=\frac{a}{2 \sqrt{3}}\right]$
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