Project ForgeGeneral Aptitude
Quantitative Aptitude
GATE 2021
Medium
The ratio of the area of the inscribed circle to the area of the circumscribed circle of an equilateral triangle is_____
- A1/8
- B1/6
- 1/4
- D1/2
Explanation
For an equilateral triangle with side a: circumradius R=a/sqrt(3), inradius r=a/(2*sqrt(3)), so r/R=1/2. The ratio of areas (proportional to radius squared) is (r/R)^2 = 1/4.
Source: GATE ME 2021 Session 2 (ME-2) (2021)
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