The figure at right shows two concentric circles.
What is the relationship between
and ? How do you know?
They are similar. Both are the intercepted arc of central angle
Which has greater measure,
or ? Which has greater length? Explain.
We already know that both share the same central angle. Which one has a larger radius?
Both arcs have the same measure.
has greater length.
and , find the length of . Show all work.
is a fraction of a circle with a radius of and a circumference of .
Therefore, the length of