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Arc of given length subtends a given angle: area of the circle

The same question, asked 2 times: 17 Jul 2023 S2*, 21 Jul 2023 S4. Every wording below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    17 Jul 2023 S2

    64
    An arc of length 23.1 cm subtends an 18∘18^\circ angle at the centre. What is the area of the circle? [Use π=227\pi = \frac{22}{7}]

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  2. Question 2

    21 Jul 2023 S4

    65
    An arc on a circle, whose length is 19.25 cm, subtends an 18∘18^\circ angle at the centre. What is the area of the circle? [Use π=227\pi = \frac{22}{7}.]

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