PYQ Vault

Shapes with equal perimeter (or equal area): compare areas (or perimeters)

This type of question, asked 5 times: CDS 2 2016, CDS 2 2018, CDS 1 2019, CDS 1 2020, CDS 2 2020. All 6 questions below, oldest first.

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  1. Question 1

    CDS 2 2016

    69
    If the perimeter of a circle is equal to that of a square, then what is the ratio of area of circle to that of square ?

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  2. Question 2

    CDS 2 2016

    54
    A circle and a square have the same perimeter. Which one of the following is correct ?

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  3. Question 3

    CDS 2 2018

    82
    An equilateral triangle, a square and a circle have equal perimeter. If T, S and C denote the area of the triangle, area of the square and area of the circle respectively, then which one of the following is correct ?

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  4. Question 4

    CDS 1 2019

    46
    An equilateral triangle and a square are constructed using metallic wires of equal length. What is the ratio of area of triangle to that of square ?

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  5. Question 5

    CDS 1 2020

    72
    If area of a circle and a square are same, then what is the ratio of their perimeters ?

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  6. Question 6

    CDS 2 2020

    79
    If the perimeter of a circle and a square are equal, then what is the ratio of the area of the circle to that of the square ?

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