Question:
A chord of length 5 cm subtends an angle of 60° at the centre of a circle. The length, in cm, of a chord that subtends an angle of 120° at the centre of the same circle is
A chord of length 5 cm subtends an angle of 60° at the centre of a circle. The length, in cm, of a chord that subtends an angle of 120° at the centre of the same circle is
Updated On: Sep 30, 2024
- 8
- 6√2
- 5√3
- 2π
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The Correct Option is C
Solution and Explanation
The correct answer is (C):
Since ΔOAB is equilateral,
radius of the circle is 5 cm.
In ΔOCD, by sine rule,
5/sin30° = CD/sin120°
⇒ CD= 5√3/2×2
= 5√3
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