Allied & ICAR Exam Bank • ALLIED_2209 NAT • 2 Marks

Section 8: General Aptitude

Quantitative Aptitude

Subtopic: Numerical Computation

Question Statement:

In an equilateral triangle of side length 12 cm, the length of the inradius in cm is $r = a / (2\sqrt{3})$. The value of $r^2$ is:

Answer Key:

12

Step-by-Step Solution & Explanation

$r = 12 / (2\sqrt{3}) = 6 / \sqrt{3} = 2\sqrt{3}$. $r^2 = (2\sqrt{3})^2 = 12$.
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