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GATE 2021 MT – Question 8

General Aptitude · Quantitative Aptitude: Algebra, Geometry and Mensuration · 2 marks · Multiple choice

The ratio of the area of the incircle to that of the circumcircle of an equilateral triangle is ______.

Diagram for GATE 2021 MT question 8
  1. $1/8$
  2. $1/6$
  3. $1/4$
  4. $1/2$

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Show answer and explanation

Correct answer: (C) $1/4$

Explanation

For an equilateral triangle the circumradius is twice the inradius. Areas scale as squared radii, so πr²/(π(2r)²)=**1/4, C**.