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Sector area = (angle/360) x pi r^2: find area, radius or angle

This type of question, asked 13 times: 17 Jul 2023 S3, 17 Jul 2023 S4, 18 Jul 2023 S4, 19 Jul 2023 S3, 26 Jul 2023 S2, 17 Sep 2024 S1, 19 Sep 2024 S3, 14 Sep 2025 S1, 14 Sep 2025 S3, 15 Sep 2025 S2, 23 Sep 2025 S3, 24 Sep 2025 S2, 26 Sep 2025 S1. All 13 questions below, oldest first.

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  1. Question 1

    17 Jul 2023 S3

    65
    Find the area of the sector of a circle with radius 5 cm and angle 60∘60^\circ (rounded off to one decimal).

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  2. Question 2

    17 Jul 2023 S4

    65
    A sector of a circle of radius 10 cm is formed at 60∘60^\circ angle at the centre. What will be its area (take π=3.14\pi = 3.14)?

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  3. Question 3

    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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  4. Question 4

    19 Jul 2023 S3

    72
    The area of the sector of a circle (in cm2\text{cm}^2) of radius 7 cm and central angle 60∘60^\circ is: (Take π=227\pi = \frac{22}{7})

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  5. Question 5

    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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  6. Question 6

    17 Sep 2024 S1

    62
    Find the measure of the central angle of a sector if its area is 16π16\pi and the radius is 8.

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  7. Question 7

    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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  8. Question 8

    14 Sep 2025 S1

    71
    A sector of a circle having a radius 14 cm has area 154 cm2\text{cm}^2. Find the angle of the sector.

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  9. Question 9

    14 Sep 2025 S3

    69
    A sector of a circle having a radius of 10 cm and has a central angle of π6\frac{\pi}{6} radians. What is the area of the sector?

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  10. Question 10

    15 Sep 2025 S2

    68
    A circular wheel is divided into 8 equal sectors. If the area of one sector is 45 cm2\text{cm}^2, what is the radius of the wheel?

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  11. Question 11

    23 Sep 2025 S3

    69
    The angle of a sector is π4\frac{\pi}{4} radians, and the radius of the circle is 8 cm. What is the area of the sector?

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  12. Question 12

    24 Sep 2025 S2

    69
    A sector of a circle having a radius of 10 cm and has a central angle of 3π4\frac{3\pi}{4} radians. What is the area of the sector?

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  13. Question 13

    26 Sep 2025 S1

    57
    A sector of radius 14 cm has an area of 154 cm2154\text{ cm}^2. Find the angle of the sector.

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