In this lesson, students apply theorems about circles to solve problems.

First, they use sector area and radian measurements to analyze the value of several pizza slice deals. In this activity, students have the opportunity to use appropriate tools strategically (MP5) when they decide whether to use protractors or string and a ruler to approximate angle measures, and when they consider the use of spreadsheets and calculators.

Two optional activities follow. These activities are optional because they offer additional practice. In the first, students continue their exploration of sector area, combining it with trigonometry to analyze areas of sectors that have an isosceles triangle at the central angle removed. In the second, students apply properties of inscribed angles and circumscribed circles to a situational context.

In each of the optional activities, students have opportunities to engage in mathematical modeling to solve problems (MP4).