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Sector area and central angle given: radius

The same question, asked 3 times: 18 Jul 2023 S4*, 26 Jul 2023 S2*, 19 Sep 2024 S3. Every wording below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    18 Jul 2023 S4

    74
    Area of a sector is 1848 m2\text{m}^2 and the central angle of the sector is 270∘270^\circ. Find the radius of the circle. (Take π=22/7\pi=22/7)

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  2. Question 2

    26 Jul 2023 S2

    70
    The area of a sector of a circle is 110 cm2110\ \text{cm}^2 and the central angle of the sector is 56∘56^\circ, what is the radius of the circle? (Take π=22/7\pi = 22/7)

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  3. Question 3

    19 Sep 2024 S3

    58
    If the area of a sector of a circle is 462 cm2462\ \text{cm}^2 and the central angle is 120∘120^\circ, then its radius is ____.

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