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In a circle, two parallel chords on the same side of a diameter have lengths 4 cm and 6 cm. If the distance between these chords is 1 cm, then the radius of the circle, in cm, is
  • a)
  • b)
  • c)
  • d)
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
In a circle, two parallel chords on the same side of a diameter have l...
Given that two parallel chords on the same side of a diameter have lengths 4 cm and 6 cm.

In the diagram we can see that AB = 6 cm, CD = 4 cm and MN = 1 cm.
We can see that M and N are the mid points of AB and CD respectively.
AM = 3 cm and CD = 2 cm. Let 'OM' be x cm.
In right angle triangle AMO,

In right angle triangle CNO,

We know that both AO and CO are the radius of the circle. Hence AO = CO
Therefore, we can equate equation (1) and (2)

Therefore, the radius of the circle

Hence, option A is the correct answer.
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In a circle, two parallel chords on the same side of a diameter have lengths 4 cm and 6 cm. If the distance between these chords is 1 cm, then the radius of the circle, in cm, isa)b)c)d)Correct answer is option 'A'. Can you explain this answer?
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