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Chord and the angle it subtends on the circle given: radius or distance from the centre (chord = 2R sin of the angle)

This type of question, asked 2 times: 16 Sep 2025 S1, 22 Sep 2025 S1. All 2 questions below, oldest first.

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  1. Question 1

    16 Sep 2025 S1

    74
    A chord of a circle has a length of 12 cm. The angle subtended by the chord at a point on the circumference is 30∘30^\circ. What is the distance from the center of the circle to the chord?

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  2. Question 2

    22 Sep 2025 S1

    73
    A chord AB of a circle has a length of 10 cm. The angle subtended by the chord at a point C on the major arc is 30∘30^\circ. Find the radius of the circle.

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