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In a circle, if a chord is 12 cm long and the distance from the center to the ch

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Question: In a circle, if a chord is 12 cm long and the distance from the center to the chord is 5 cm, what is the radius of the circle?

Options:

  1. 10
  2. 12
  3. 13
  4. 15

Correct Answer: 13

Solution: 

Using the formula: radius² = (distance from center to chord)² + (half of chord length)². Here, radius² = 5² + (12/2)² = 25 + 36 = 61, so radius = √61, which is approximately 7.81.

In a circle, if a chord is 12 cm long and the distance from the center to the ch

Practice Questions

Q1
In a circle, if a chord is 12 cm long and the distance from the center to the chord is 5 cm, what is the radius of the circle?
  1. 10
  2. 12
  3. 13
  4. 15

Questions & Step-by-Step Solutions

In a circle, if a chord is 12 cm long and the distance from the center to the chord is 5 cm, what is the radius of the circle?
  • Circle Geometry – Understanding the relationship between a chord, its distance from the center, and the radius of the circle.
  • Pythagorean Theorem – Applying the Pythagorean theorem to find the radius using the distance from the center to the chord and half the chord length.
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