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

QUESTION
 
In the given, O is the centre of the circle, AB = BC = 4 units and ON = 4.5 units. The value of OM + MB is equal to

 

OPTIONS
A. 

4.5 units

B. 

6.5 units

C. 

2 units

D. 

4.7 units

Right Option : B

EXPLANATION
Explain TypeExplanation Content
Text

As equal chords are equidistant from the centre and AB = BC and the distancde of BC i.e. ON= 4.5 units

so AB is also at a distance of 4.5 units

OM= 4.5 units

The perpendicular bisects the chord as AB = 4units so MB = 2units

OM + MB = 4.5+2 = 6.5 units

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