In a circle of radius 5cm,find the length of chord which is at 4cm from the centre
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The chord of a circle (PQ) =?
Distance of the chord from the centre (OR) = 4cm
Radius of the circle (OP) =5cm
By Pythagoras theorem,
OPsq. = OR sq. + PR sq.
5sq.= 4 sq. +PR sq.
25 =16 + PR. sq.
PR sq. = 25-16
PR sq. = 9cm
Therefore PR=3cm
PR + QR = 3+3 = 6cm (the perpendicular drawn from centre to chord bisects the chord.
Therefore the length of the chord is 6 cm.
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