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Minute hand of a clock sweeps a sector: area or angle

This type of question, asked 2 times: CDS 2 2021, CDS 1 2026. All 2 questions below, oldest first.

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  1. Question 1

    CDS 2 2021

    65
    The minute hand of a clock is 21 cm long. What is the area on the face of the clock described by the minute hand between 10.10 a.m and 10.30 a.m ? (take π=227\pi = \frac{22}{7})

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  2. Question 2

    CDS 1 2026

    60
    The minute hand of a clock is 15 cm long and sweeps an area of 15π15\pi cm2\text{cm}^2 on the dial of the clock. How much angle does it describe during this period ?

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