PYQ Vault

Minor segment area = sector area - triangle area

This type of question, asked 7 times: 14 Sep 2025 S2, 15 Sep 2025 S1, 15 Sep 2025 S2, 16 Sep 2025 S1, 16 Sep 2025 S2, 20 Sep 2025 S1, 26 Sep 2025 S3. All 7 questions below, oldest first.

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  1. Question 1

    14 Sep 2025 S2

    73
    A circular decorative wall clock with a radius of 20 cm has a design where a chord connects two points on the circumference. This chord, along with two radii, forms an equilateral triangle at the center of the clock face. The smaller segment created by this chord is painted in a contrasting color. What percentage of the clock's total area does this smaller painted segment represent? (Use π≈3.14\pi \approx 3.14, 3≈1.732\sqrt{3} \approx 1.732)

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  2. Question 2

    15 Sep 2025 S1

    75
    What is the area of the segment formed by a chord in a circle of radius 12 cm, if the angle subtended at the center is 150∘150^\circ?

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  3. Question 3

    15 Sep 2025 S2

    74
    A sector of a circle with radius 6 cm has a central angle of 60∘60^\circ. What is the area of the corresponding segment?

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  4. Question 4

    16 Sep 2025 S1

    75
    What is the area of the segment formed by a chord in a circle of radius 8 cm, if the angle subtended at the center is 60∘60^\circ?

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  5. Question 5

    16 Sep 2025 S2

    74
    A chord in a circle with radius 10 cm subtends an angle of 90∘90^\circ at the center. What is the area of the minor segment?

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  6. Question 6

    20 Sep 2025 S1

    73
    A circle of radius of 12 cm. Two radii are drawn such that the length of the chord connecting their endpoints is 12 cm. What is the area of the minor segment formed?

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  7. Question 7

    26 Sep 2025 S3

    73
    What is the area of the segment formed by a chord in a circle of radius 10 cm, if the angle subtended at the center is 90∘90^\circ?

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