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Area of a ring or path between two concentric circles

This type of question, asked 4 times: CDS 2 2018, CDS 2 2019, CDS 2 2023, CDS 1 2024. All 4 questions below, oldest first.

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  1. Question 1

    CDS 2 2018

    76
    There is a path of width 5 m around a circular plot of land whose area is 144π144\pi m2^2. The total area of the circular plot including the path surrounding it is

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  2. Question 2

    CDS 2 2019

    78
    Two circles are drawn with the same centre. The circumference of the smaller circle is 44 cm and that of the bigger circle is double the smaller one. What is the area between these two circles ?

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  3. Question 3

    CDS 2 2023

    60
    What is the area of the region between two concentric circles if the chord of the outer circle of length 14 cm is a tangent of the inner circle ? (Take π=227\pi = \frac{22}{7})

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  4. Question 4

    CDS 1 2024

    40
    What is the area of the region between two concentric circles, if the length of a chord of the outer circle touching the inner circle at a particular point of its circumference is 14 cm ? (Take π=227\pi = \frac{22}{7})

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