In a circle, the height of an arc is 21 cm and the diameter is 84 cm. Find the chord of ‘half of the arc’
Explanation:
The given scenario can be depicted in the diagram below.
As, OC ⊥ AB and OC = AO/2,
ΔAOC is a 30-60-90 triangle.
∴ Angle subtended by the arc AB = 2 × 60 = 120°
∴ Angle subtended by half the arc is 60°
∴ Triangle formed by the chord of ‘half the arc’ and two radii is equilateral.
Hence, length of chord AM = 42 cm
Hence, option (c).
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