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 ā AB, OA = 13, AM = 10/2 = 5 In right triangle OMA: OAĀ² = OMĀ² + AMĀ² 13Ā² = OMĀ² + 5Ā² 169 = OMĀ² + 25 OMĀ² = 144 OM = 12 cm Answer: Distance from centre to chord = 12 cm.
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