MathDB
Chisinau MO p43 1949-56 VIII-IX equal lengths of arcs wanted

Source:

March 15, 2021
arcsgeometry

Problem Statement

On the radius OAOA of a certain circle, as on the diameter, a circle is constructed. A ray is drawn from the center OO, intersecting the larger and smaller circles at points BB and CC, respectively. Show that the lengths of arcs ABAB and ACAC are equal.