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 by the same arc at any point on the remaining part of the circle?
40 degrees
80 degrees
60 degrees
20 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 by the same arc at any point on the remaining part of the circle?
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 80 degrees.
Step 4: Know that the angle subtended by the same arc at any point on the circumference is always half of the angle at the center.
Step 5: Calculate half of 80 degrees, which is 80 divided by 2.
