In a circle, if the angle subtended by an arc at the center is 120 degrees, what
Practice Questions
Q1
In a circle, if the angle subtended by an arc at the center is 120 degrees, what is the angle subtended at any point on the remaining part of the circle?
60 degrees
120 degrees
90 degrees
30 degrees
Questions & Step-by-Step Solutions
In a circle, if the angle subtended by an arc at the center is 120 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 defined by two points on the circle.
Step 2: Recognize that the angle subtended by the arc at the center of the circle is given as 120 degrees.
Step 3: Know that the angle subtended by the same arc at any point on the remaining part of the circle is always half of the angle at the center.
Step 4: Calculate half of 120 degrees, which is 120 / 2 = 60 degrees.
Step 5: Conclude that the angle subtended at any point on the remaining part of the circle is 60 degrees.
