Points A and B are marked on the circle centered at point O so that the angle AOB = 45 degrees.

Points A and B are marked on the circle centered at point O so that the angle AOB = 45 degrees. The length of the smaller of the arcs into which the circle is divided by points A and B is 36. Find the length of the larger arc.

Since the degree measure of the circle is 360 °, then the smaller arc, the degree measure of which is 45 °, is 1/8 of the entire circle, respectively, 7/8 falls on the larger arc.
Let’s compose and solve the proportion:
Part 1 – 36
7 parts – x
x = (36 * 7) / 1 = 252
Answer: 252 is the length of the larger arc.