Question

An equilateral triangle, a square and a circle have equal perimeters. If t denotes the area of the triangle, s, the area of the square and c, the area of the circle.

Answer 1

Answer:

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Question

An equilateral triangle, a square and a circle have equal perimeters. If T denotes the area of the triangle, S is the area of the square and C the area of the circle, then:

A

S<T<C

B

T<C<S

C

T<S<C

D

C<S<T

Medium

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Solution

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Correct option is C)

Let the perimeter of each figure be P cm. 

Then, side of equilateral triangle 3P

Side of square =4P

Radius of circle =2πP

∴T=43×(3P)2=363P2

S=(4P)2=16P2

C=π×(2πP)2=4π