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 Maths.
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    Answer: (4) 13.3 cm
    Explanation:-
    According to the question,
    In the figure-

    RE: What will the Distance Between Their Centers? If


    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.
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