Question

a circle has a radius of 13 can and cord is 24 cm find the distance from center to cord

urgent please ​

Answer 1

Answer:

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Step-by-step explanation:

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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