The radius of the circle with centre
o is 13 cm and the length of the
chord PQ is 24 cm determine the
distance of the chord PQ from
centre O.
Answers
Answered by
3
Answer:
From O, draw OM perpendicular PQ and join OP. As, the perpendicular from the centre of a circle to a chord bisects the chord. ⇒ OM = 5cm. Hence, the distance of the chord from the centre is 5cm.
Answered by
50
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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