Question

8. The radius of the circle is 5 cm and distance of the chord from the centre of the circle is 4 cm.
Find the length of the chord
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Answer 1

Answer:

chord of a circle (PQ) =?

distance of the chord from the centre (OR)=4 cm

radius of the circle(OP)=5 cm

By Pythagoras theorem,

OP sq.=OR sq.+PR sq.

5 sq.=4 sq.+PR sq.

25 =16 +PR. sq.

PR sq.=25-16

PR sq. =9 cm

therefore PR=3 cm

PR +QR=3+3= 6 cm (the perpendicular drawn from centre to chord bisects the chord).

therefore length of the chord is 6 cm