Question
In a circle of radius 13 cm, a chord is of length 10 cm.
Find the distance of the chord from the centre.Solution
Let O be centre, AB be chord, M be midpoint of AB. OM ⟂ AB, OA = 13, AM = 10/2 = 5 In right triangle OMA: OA² = OM² + AM² 13² = OM² + 5² 169 = OM² + 25 OM² = 144 OM = 12 cm Answer: Distance from centre to chord = 12 cm.
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