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What is the length of a chord in a circle of radius 8 cm that subtends a central

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Question: What is the length of a chord in a circle of radius 8 cm that subtends a central angle of 90 degrees?

Options:

  1. 8 cm
  2. 4√2 cm
  3. 8√2 cm
  4. 16 cm

Correct Answer: 4√2 cm

Solution: 

Chord length = 2r * sin(θ/2) = 2 * 8 * sin(45°) = 8√2 cm.

What is the length of a chord in a circle of radius 8 cm that subtends a central

Practice Questions

Q1
What is the length of a chord in a circle of radius 8 cm that subtends a central angle of 90 degrees?
  1. 8 cm
  2. 4√2 cm
  3. 8√2 cm
  4. 16 cm

Questions & Step-by-Step Solutions

What is the length of a chord in a circle of radius 8 cm that subtends a central angle of 90 degrees?
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