PYQ Vault

Equal circles touching each other with centres at polygon vertices: area enclosed

This type of question, asked 4 times: CDS 1 2017, CDS 1 2020, CDS 2 2020, CDS 1 2022. All 4 questions below, oldest first.

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  1. Question 1

    CDS 1 2017

    78
    Three circles each of radius 3.5 cm touch one another. The area subtended between them is

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  2. Question 2

    CDS 1 2020

    91
    What is the area of the shaded region in the given figure, if the radius of each of the circles is 2 cm ?

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  3. Question 3

    CDS 2 2020

    88
    Four circular coins of equal radius are placed with their centres coinciding with four vertices of a square. Each coin touches two other coins. If the uncovered area of the square is 42 cm242 \text{ cm}^2, then what is the radius of each coin ? (Assume π=227\pi = \frac{22}{7})

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  4. Question 4

    CDS 1 2022

    18
    What is the area of the region enclosed by three identical circles (each of radius 4 cm) touching each other?

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