In a circle, if the angle subtended by an arc at the center is 60 degrees, what

Practice Questions

Q1
In a circle, if the angle subtended by an arc at the center is 60 degrees, what is the angle subtended at any point on the circumference?
  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 an arc at the center is 60 degrees, what is the angle subtended at any point on the circumference?
  • Step 1: Understand that there is a circle with a center and a circumference.
  • Step 2: Identify that an arc is a part of the circle's circumference.
  • Step 3: Recognize that the angle subtended by the arc at the center of the circle is given as 60 degrees.
  • Step 4: Learn the rule that states the angle subtended at any point on the circumference by the same arc is half of the angle at the center.
  • Step 5: Calculate half of 60 degrees, which is 30 degrees.
  • Step 6: Conclude that the angle subtended at any point on the circumference is 30 degrees.
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