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Two parallel chords and the distance between them: radius or diameter

This type of question, asked 4 times: 21 Jul 2023 S2, 9 Sep 2024 S1, 17 Sep 2024 S2, 15 Sep 2025 S1. All 4 questions below, oldest first.

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  1. Question 1

    21 Jul 2023 S2

    66
    AB = 28 cm and CD = 22 cm are two parallel chords on the same side of the centre of a circle. The distance between them is 4 cm. The radius of the circle is __________. (Consider up to two decimals)

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  2. Question 2

    9 Sep 2024 S1

    54
    Let O be the centre of the circle and AB and CD are two parallel chords on the same side of the radius. OP is perpendicular to AB and OQ is perpendicular to CD. If AB = 1010 cm, CD = 2424 cm and PQ = 77 cm, then the diameter (in cm) of the circle is equal to:

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  3. Question 3

    17 Sep 2024 S2

    52
    AB and CD are two parallel chords drawn in a circle with centre O. The distance between the two chords is 21 cm. If the lengths of AB and CD are 24 cm and 18 cm, respectively, then the radius of the circle is equal to:

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  4. Question 4

    15 Sep 2025 S1

    74
    There are two parallel chords measuring 16 cm and 12 cm, both situated on the same side of the center of a circle. The space between the two chords is 2 cm. What is the radius of the circle?

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