Points A and B are marked on a circle with center O so that the angle AOB = 122 degrees, the length of the smaller

Points A and B are marked on a circle with center O so that the angle AOB = 122 degrees, the length of the smaller arc AB is equal to 61 degrees. Find the length of the larger arc.

Given: a circle with center O;
points A and B lie on a circle;
angle AOB = 122 degrees;
the length of the smaller arc AB is equal to 61 degrees.
Find the length of the greater arc -?
Solution:
1) The degree measure of the corresponding central angle is equal to the degree measure of the circular arc. If we know that the angle AOB = 122 degrees, and the arc is 61 degrees, then 61: 122 = 0.5 units of length – each degree contains an arc;
2) The large arc contains 360 – 122 = 238 degrees
3) 238 * 0.5 = 119 degrees – a large arc.
Answer: 119 degrees.