If the angle subtended by an arc at the center of a circle is 60 degrees, what i

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Question: If the angle subtended by an arc at the center of a circle is 60 degrees, what is the angle subtended at any point on the circumference?

Options:

30 degrees
60 degrees
90 degrees
120 degrees

Correct Answer: 30 degrees

Solution:

The angle subtended at the circumference is half of that at the center. Therefore, it is 60 degrees / 2 = 30 degrees.

If the angle subtended by an arc at the center of a circle is 60 degrees, what i

Practice Questions

If the angle subtended by an arc at the center of a circle is 60 degrees, what is the angle subtended at any point on the circumference?

30 degrees
60 degrees
90 degrees
120 degrees

Questions & Step-by-Step Solutions

If the angle subtended by an arc at the center of a circle is 60 degrees, what is the angle subtended at any point on the circumference?

Step 1: Understand that an arc is a part of the circumference of a circle.
Step 2: Know that the angle subtended by an arc at the center of the circle is given as 60 degrees.
Step 3: Remember the rule that the angle subtended at any point on the circumference by the same arc is half of the angle at the center.
Step 4: Calculate the angle at the circumference by dividing the angle at the center (60 degrees) by 2.
Step 5: Perform the calculation: 60 degrees / 2 = 30 degrees.
Step 6: Conclude that the angle subtended at any point on the circumference is 30 degrees.

Angle Subtended at the Center vs. Circumference – The relationship between the angle subtended by an arc at the center of a circle and the angle subtended at any point on the circumference, specifically that the latter is half of the former.

If the angle subtended by an arc at the center of a circle is 60 degrees, what i

What’s inside this PDF?

If the angle subtended by an arc at the center of a circle is 60 degrees, what i

Practice Questions

Questions & Step-by-Step Solutions

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