Circumference and Arc Length - Lesson 10-9
We started today by reviewing what we knew about the definition of circumference and the relationship between the circumference and the diameter of any circle:
We then went over a couple of examples of using this knowledge:
Next, we defined arc length:
We then compared this to arc measure. Note that two arcs can have the same measure, but different lengths.
We then used this information to do the following problems:
And summarized this work with the following theorem:
Before reviewing homework, we went through the following "cool" example:
The first challenge here was to get the correct diagram:
Once we had that, we were OK...just use Theorem 98 and algebra!