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Question

A and B are the centres of blue and red circles respectively and the circles are of the same size. If the line AB is 12 cm, then what is the length of the radius of blue circle (in cm)?


A
6
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B
12
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C
10
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D
3
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Solution

The correct option is A 6
The circles are of same size. so their radius will also be of ame length.

In the figure, AO is the radius of the blue circle and BO is the radius of the red circle.
Length of AO = Length of BO
AO + BO = AB
So AO is half of AB that is half of 12 cm.
Half of 12 cm = 12 ÷ 2 = 6 cm
So the radius of the blue circle is 6 cm.

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