Maths / Circles / Equal Chords are Equidistant from the Center of Circle

QUESTION

 In the figure given below, O is the centre of the circle, AB = BC = 6 cm and ON = 5 cm. The length of OM + BM is equal to

 OPTIONS A. 3 cm B. 5 cm C. 6 cm D. 8 cm
Right Option : D

EXPLANATION
Explain TypeExplanation Content
Text

In the figure given below, O is the centre of the circle, AB = BC = 6 cm and ON = 5 cm. The length of OM + BM is equal to

As AB = BC = 6 cm and ON = 5 units, and OM is perpendicular to AB,

then OM = 5 cm as equal chords are equidistant from the centre

As OM is perpendicular so it bisects the chord

BM = 3 cm

OM + BM = 5 + 3 = 8 cm

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