Explore a diverse range of topics and get answers from knowledgeable individuals on IDNLearn.com. Get accurate and comprehensive answers to your questions from our community of knowledgeable professionals.

Theorem: In any circles the same ratio of arc length to radius determines a unique central angle that the arcs subtend; and conversely, equal central angles determine the same ratio of arc length to radius. Prove the theorem above using the definition of the radian measure of an angle.