The diameter of a circle is 10 cm. If the distance of a chord from the centre of the circle be 4 cm, then the length of the chord is :

The diameter of a circle is 10 cm. If the distance of a chord from the centre of the circle be 4 cm, then the length of the chord is

  1. 6 cm
  2. 3 cm
  3. 5 cm
  4. 4 cm
Anurag Mishra Professor Asked on 27th December 2015 in Maths.
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1 Answer(s)

Answer:  (1) 6 cm 

Solution:-

RE: The diameter of a circle is 10 cm. If the distance of a chord from the centre of the circle be 4 cm, then the length of the chord is :


AP = sqrt, (5^2 – 4^2) 
  = sqrt.(25 – 16)
  = sqrt.9
AP = 3 cm 

Then, the length of the chord AB = 2 x 3 = 6 cm 

Hence, the correct answer is option (1) 6 cm. 

Anurag Mishra Professor Answered on 27th December 2015.
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