PYQ Vault

Sector perimeter = 2r + arc length

This type of question, asked 7 times: 27 Jul 2023 S3, 9 Sep 2024 S3, 12 Sep 2024 S3, 13 Sep 2024 S1, 17 Sep 2024 S3, 18 Sep 2024 S1, 25 Sep 2024 S2. All 7 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    27 Jul 2023 S3

    55
    A circular arc whose radius is 4 cm makes an angle 45∘45^\circ at the centre. Find the perimeter of the sector formed. (Take π=227\pi = \frac{22}{7})

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  2. Question 2

    9 Sep 2024 S3

    57
    What is the perimeter (in cm, rounded off to one decimal place) of the sector of a circle with a radius of 10 cm and of angle 30∘30^\circ? (Use π=3.14\pi = 3.14)

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  3. Question 3

    12 Sep 2024 S3

    70
    A circular arc whose radius is 12 cm makes an angle of 30∘30^\circ at the centre. Find the perimeter (in cm) of the sector formed. (Use π=3.14\pi = 3.14)

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  4. Question 4

    13 Sep 2024 S1

    74
    One-quarter of a circular pizza of radius 21 cm was removed from the whole pizza. What is the perimeter (in cm) of the remaining pizza? (Use π=22/7\pi = 22/7)

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  5. Question 5

    17 Sep 2024 S3

    57
    A circular arc makes an angle of 15∘15^\circ at the centre. If the radius of the circular arc is 14 cm, what is the perimeter (correct up to two decimal places) of the sector so formed? (π=3.14)(\pi = 3.14)?

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  6. Question 6

    18 Sep 2024 S1

    54
    A circular arc whose radius is 24 cm makes an angle of 60∘60^\circ at the centre. The perimeter of the sector formed is: (Use π=3.14\pi = 3.14)

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  7. Question 7

    25 Sep 2024 S2

    58
    A circular arc whose radius is 14 cm, makes an angle of 45∘45^\circ at the centre. Find the perimeter (in cm) of the sector. (Use π=227)\left(\text{Use } \pi = \frac{22}{7}\right)

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