PYQ Vault

Sector area = (1/2) x radius x arc length

This type of question, asked 8 times: 17 Jul 2023 S4, 20 Jul 2023 S1, 21 Jul 2023 S3, 25 Jul 2023 S3, 9 Sep 2024 S2, 12 Sep 2024 S2, 13 Sep 2024 S3, 18 Sep 2024 S3. All 8 questions below, oldest first.

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  1. Question 1

    17 Jul 2023 S4

    71
    The area of the sector of a circle of radius 12 cm is 32π cm232\pi\ \text{cm}^2. Find the length of the corresponding arc of the sector.

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  2. Question 2

    20 Jul 2023 S1

    63
    In the given figure, the length of arc AB is equal to 3 times radius r of the circle. Find the area of sector OAB in terms of radius r.

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  3. Question 3

    21 Jul 2023 S3

    70
    The area of the sector of a circle of radius 28 cm is 112 cm2\text{cm}^2. Find the length of the corresponding arc of the sector.

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  4. Question 4

    25 Jul 2023 S3

    58
    What is the area of the sector of a circle of radius 8 cm and formed by an arc of length 12 cm?

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  5. Question 5

    9 Sep 2024 S2

    69
    From a circle with the radius of 15.75 cm, a sector with the arc length of 11 cm is cut off. Find the area (in cm2\text{cm}^2) of this sector.

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  6. Question 6

    12 Sep 2024 S2

    55
    Find the area of a sector with an arc length of 44 cm, which subtends a central angle of 30∘30^\circ.

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  7. Question 7

    13 Sep 2024 S3

    60
    The area of a sector of a circle of radius 12 cm, formed by an arc of length 7 cm is:

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  8. Question 8

    18 Sep 2024 S3

    69
    Find the area (in cm2\text{cm}^2) of the sector, where the radius of the circle is 24 cm and length of the arc is 7 cm.

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