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

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Question: In a circle, if the angle subtended by a chord at the center is 80 degrees, what is the angle subtended at any point on the remaining part of the circle?

Options:

  1. 40
  2. 80
  3. 100
  4. 160

Correct Answer: 40

Solution:

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

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

Practice Questions

Q1
In a circle, if the angle subtended by a chord at the center is 80 degrees, what is the angle subtended at any point on the remaining part of the circle?
  1. 40
  2. 80
  3. 100
  4. 160

Questions & Step-by-Step Solutions

In a circle, if the angle subtended by a chord at the center is 80 degrees, what is the angle subtended at any point on the remaining part of the circle?
  • Inscribed Angle Theorem – The angle subtended by a chord at the circumference of a circle is half the angle subtended at the center.
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