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In a circle, if the angle subtended by a chord at the center is 120 degrees, wha

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Question: In a circle, if the angle subtended by a chord at the center is 120 degrees, what is the angle subtended by the same chord at any point on the circle?

Options:

  1. 30 degrees
  2. 60 degrees
  3. 90 degrees
  4. 120 degrees

Correct Answer: 30 degrees

Solution: 

The angle subtended at any point on the circle is half of the angle subtended at the center. Therefore, it is 120/2 = 60 degrees.

In a circle, if the angle subtended by a chord at the center is 120 degrees, wha

Practice Questions

Q1
In a circle, if the angle subtended by a chord at the center is 120 degrees, what is the angle subtended by the same chord at any point on the circle?
  1. 30 degrees
  2. 60 degrees
  3. 90 degrees
  4. 120 degrees

Questions & Step-by-Step Solutions

In a circle, if the angle subtended by a chord at the center is 120 degrees, what is the angle subtended by the same chord at any point on the circle?
  • Inscribed Angle Theorem – The angle subtended by a chord at any point on the circumference of the circle is half the angle subtended at the center of the circle.
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