In a circle, if an angle subtended by an arc at the center is 80 degrees, what i
Practice Questions
Q1
In a circle, if an angle subtended by an arc at the center is 80 degrees, what is the angle subtended by the same arc at any point on the remaining part of the circle? (2023)
40 degrees
80 degrees
60 degrees
20 degrees
Questions & Step-by-Step Solutions
In a circle, if an angle subtended by an arc at the center is 80 degrees, what is the angle subtended by the same arc at any point on the remaining part of the circle? (2023)
Step 1: Understand that there is a circle with a center point.
Step 2: Identify that an angle of 80 degrees is formed at the center of the circle by an arc.
Step 3: Recall the rule that states the angle subtended by an arc at the center is twice the angle subtended by the same arc at any point on the circumference.
Step 4: To find the angle at the circumference, divide the angle at the center (80 degrees) by 2.
Step 5: Calculate 80 degrees divided by 2, which equals 40 degrees.
Step 6: Conclude that the angle subtended by the same arc at any point on the remaining part of the circle is 40 degrees.
