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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