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Diameter of a circle is 26cm and leangth of a chord of a circle is 24cm find the distance of the chord from centre |
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Answer» Step-by-step EXPLANATION: radius = 1/2 x diameter = 1/2 x 26 = 13 cm
length of the chord = 24 cm we know that perpendicular drawn from the centre of the circle to the chord bisects the chord. half of length of the chord ( QP ) = 12 cm radius of the circle ( OQ ) = 13cm by applying Pythagoras theorem. OQ2 = OP2 + PQ2 i.e OQ2 - PQ2 = OP2 ( Distance of chord from center) 13² - 12SQUARE = op2 169 - 144 = op2 25 = op2 ie. op = 5 ( after taking square root) the distance of chord is 5CM from the centre.
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