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Chord, radius and the angle the chord subtends (chord = radius gives 60 degrees)

This type of question, asked 2 times: 8 Aug 2022 Tier II, 18 Jan 2026 Tier II. All 2 questions below, oldest first.

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  1. Question 1

    8 Aug 2022 Tier II

    94
    AB is the chord of a circle such that AB = 10 cm. If the diameter of the circle is 20 cm, then the angle subtended by the chord at the centre is ______.

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  2. Question 2

    18 Jan 2026 Tier II

    9
    If a chord of a circle subtends an angle of 60∘60^\circ at the circumference of the circle, then what is the ratio of the radius of the circle and the length of the chord respectively?

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