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In a circle, if a chord is bisected by a radius at a right angle, and the radius

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Question: In a circle, if a chord is bisected by a radius at a right angle, and the radius is 9 cm, what is the length of the chord?

Options:

  1. 12
  2. 15
  3. 18
  4. 20

Correct Answer: 18

Solution: 

Using the formula: chord length = 2√(radius² - (half of chord length)²). Here, half of chord length = √(9² - 0) = 9, so chord length = 2 * 9 = 18.

In a circle, if a chord is bisected by a radius at a right angle, and the radius

Practice Questions

Q1
In a circle, if a chord is bisected by a radius at a right angle, and the radius is 9 cm, what is the length of the chord?
  1. 12
  2. 15
  3. 18
  4. 20

Questions & Step-by-Step Solutions

In a circle, if a chord is bisected by a radius at a right angle, and the radius is 9 cm, what is the length of the chord?
  • Circle Geometry – Understanding the properties of chords, radii, and right angles in a circle.
  • Pythagorean Theorem – Applying the theorem to find relationships between the radius, half the chord length, and the distance from the center to the chord.
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