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?

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Q: 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?

Solution: The angle subtended at the circumference is half of that at the center, so it is 30 degrees.

Steps: 6

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.