Question
In a circle of radius 10 cm, a chord has length 16 cm.
Find the distance of the chord from the centre of the circle.Solution
Let O be the centre, AB the chord with length 16 cm. Let M be the midpoint of AB. Then OM ⟂ AB and AM = 16/2 = 8 cm. Let OM = d (distance from centre to chord). In right triangle OMA: OA² = OM² + AM² 10² = d² + 8² 100 = d² + 64 d² = 36 d = 6 cm Answer: Distance from centre to chord = 6 cm.
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