The radius of a circle is 13 cm and the length of one of its chords is 24 cm. Find the distance of the chord from the centre. -Maths 9th

The radius of a circle is 13 cm and the length of one of its chords is 24 cm. Find the distance of the chord from the centre. -Maths 9th
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1 Answer

Answer :

Let PQ be a chord of a circle with centre O and radius 13cm such that PQ = 24cm. From O, draw OM perpendicular PQ and join OP. As, the perpendicular from the centre of a circle to a chord bisects the chord. ∴  PM = 12cm In △OMP, we have  OP2 = OM2 + PM2 ⇒ 132 = OM2 + 122 ⇒ OM = 5cm.                                                                                                                                                      Hence, the distance of the chord from the centre is 5cm.
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