What will be the length of OM. If OM is perpendicular to AB?

In a circle with center at O (0,0) and radius 5 cm, AB is a chord of length 8 cm. If OM is perpendicular to AB, then the length of OM is:

  1. 4 cm
  2. 1 cm
  3. 2.5 cm
  4. 3 cm
Monis Rasool Professor Asked on 21st November 2015 in Maths.
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  • 1 Answer(s)

    Answer: (4) 3 cm 

    Explanation:-
    According to question,
    Circle  2
    In Δ AOM,
    OM = √(5² – 4²)
    = √(25 – 16)
    = √9
    OM  = 3 cm

    Then, the length of OM is 3 cm.

    Hence, the answer is (4) 3 cm.

    Anurag Mishra Professor Answered on 21st November 2015.
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