# What will the Distance Between Their Centers? If

Two circles of radii 10 cm and 8 cm intersect and the length of the common chord is 12 cm. Then the distance between their centers is:

1. 15 cm
2. 10 cm
3. 8 cm
4. 13.3 cm
Monis Rasool Professor Asked on 8th July 2015 in

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Explanation:-
According to the question,
In the figure-

Distance of OP = (102 – 62)1/2
= (100 – 36)1/2
= (64)1/2
= 8 cm
Distance of OP = (82 – 62)1/2
= (64 – 36)1/2
= (28)1/2
= 5.3 cm
The distance between their centers = 8 + 5.3 = 13.3 cm.
Hence, the answer is (4) 13.3 cm.

Anurag Mishra Professor Answered on 13th July 2015.