Exploring Arc Length
Determine the degree measure of the minor arc in each circle.
What is the ratio of the degree measure of the minor arc to the degree measure of the entire circle for each of the two circles?
Do arc CD and arc EF have the same length?
If the radius of circle A is 2 cm, what is the circumference?
Using the circumference from the above question and the ratio from the second question, find the length of the minor arc in circle A. (multiply them)
If the radius of circle B is 4 cm, what is the circumference?
Using the circumference from the above question and the ratio from the second question, find the length of the minor arc in circle B
As you can see, although these two arcs have the same degree measure, they are not the same length. Using what you learned throughout this exploration, can you come up with a general formula that will help you find the length of the arc when you're given the central angle and radius?