In a circle, if the angle subtended by an arc at the center is 80 degrees, what
Practice Questions
Q1
In a circle, if the angle subtended by an arc at the center is 80 degrees, what is the angle subtended at any point on the remaining part of the circle?
40 degrees
80 degrees
100 degrees
160 degrees
Questions & Step-by-Step Solutions
In a circle, if the angle subtended by an arc at the center is 80 degrees, what is the angle subtended at any point on the remaining part of the circle?
Step 1: Understand that an arc is a part of the circle's circumference.
Step 2: Know that the angle subtended by an arc at the center of the circle is given as 80 degrees.
Step 3: Remember the rule that the angle subtended by the same arc at any point on the remaining part of the circle is half of the angle at the center.
Step 4: Calculate half of the angle at the center: 80 degrees divided by 2 equals 40 degrees.
Step 5: Conclude that the angle subtended at any point on the remaining part of the circle is 40 degrees.
