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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!