GATE Mechanical Engineering (ME) 2018 Shift 2 Solved Paper

Question : 1 of 65

Marks: +1, -0

The perimeters of a circle, a square and an equilateral triangle are equal. Which one of the following statements is true?

Solution:

Let us take a circle, square and an equilateral triangle each of equal perimeter say

100 {m} .

π D=4 a=3 s=100

{D}=31.84 ; {a}=25 ; {s}=33.33

\;{π}/{4} d^{2}=796.22

a^{2}=625

\;{√{3}}/{4} s^{2}=481.03

Hence circle has largest area.

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