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What is the angle between a tangent to a circle and a chord drawn to the point o

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Question: What is the angle between a tangent to a circle and a chord drawn to the point of contact?

Options:

  1. 0 degrees
  2. 45 degrees
  3. 90 degrees
  4. The angle is equal to the angle in the alternate segment

Correct Answer: The angle is equal to the angle in the alternate segment

Solution: 

The angle between a tangent and a chord through the point of contact is equal to the angle in the alternate segment.

What is the angle between a tangent to a circle and a chord drawn to the point o

Practice Questions

Q1
What is the angle between a tangent to a circle and a chord drawn to the point of contact?
  1. 0 degrees
  2. 45 degrees
  3. 90 degrees
  4. The angle is equal to the angle in the alternate segment

Questions & Step-by-Step Solutions

What is the angle between a tangent to a circle and a chord drawn to the point of contact?
  • Tangent-Chord Angle Theorem – The angle formed between a tangent to a circle and a chord drawn from the point of contact is equal to the angle subtended by the chord in the opposite segment of the circle.
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