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In a circle, if the angle subtended by an arc at the center is 80 degrees, what

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Question: In a circle, if the angle subtended by an arc at the center is 80 degrees, what is the angle subtended by the same arc at any point on the circumference?

Options:

  1. 40 degrees
  2. 80 degrees
  3. 60 degrees
  4. 20 degrees

Correct Answer: 40 degrees

Solution:

The angle at the circumference is half of the angle at the center, so it is 80/2 = 40 degrees.

In a circle, if the angle subtended by an arc at the center is 80 degrees, what

Practice Questions

Q1
In a circle, if the angle subtended by an arc at the center is 80 degrees, what is the angle subtended by the same arc at any point on the circumference?
  1. 40 degrees
  2. 80 degrees
  3. 60 degrees
  4. 20 degrees

Questions & Step-by-Step Solutions

In a circle, if the angle subtended by an arc at the center is 80 degrees, what is the angle subtended by the same arc at any point on the circumference?
  • Inscribed Angle Theorem – The angle subtended by an arc at the center of a circle is twice the angle subtended by the same arc at any point on the circumference.
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