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 remaining part of the circle?
Practice Questions
1 question
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 remaining part of the circle?
30 degrees
60 degrees
90 degrees
120 degrees
The angle subtended at the circumference is half of that at the center, so it is 30 degrees.
Questions & Step-by-step Solutions
1 item
Q
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 remaining part of the circle?
Solution: The angle subtended at the circumference is half of that at the center, so it is 30 degrees.
Steps: 5
Step 1: Understand that we have a circle with an arc.
Step 2: Know that the angle subtended by the arc at the center of the circle is given as 60 degrees.
Step 3: Remember the rule that states the angle subtended at the circumference (the edge of the circle) is half of the angle subtended at the center.
Step 4: Apply this rule: Half of 60 degrees is 30 degrees.
Step 5: Conclude that the angle subtended at any point on the remaining part of the circle is 30 degrees.
