1. Find x. Round to the nearest hundredth if necessary.
Problem of the Day

2. Section 11-4 Areas of Regular Polygons

3. Then Now Objectives You found the cross sections of solids.
Find areas of regular polygons.

4. Common Core State Standards
Content Standards
G.MG.3 – Apply geometric methods to solve problems.
Mathematical Practices
1) Make sense of problems and persevere in solving them.
6) Attend to precision.
Common Core State Standards

5. Vocabulary

6. Square FGHJ is inscribed in circle K
Square FGHJ is inscribed in circle K. Identify the center, a radius, an apothem, and a central angle of the polygon. Then find the measure of a central angle.
Example 1

7. Regular hexagon JKLMNP is inscribed in circle R
Regular hexagon JKLMNP is inscribed in circle R. Identify the center, a radius, an apothem, and a central angle of the polygon. Then find the measure of a central angle.
Example 1

8. The cover of the hot tub shown is a regular pentagon
The cover of the hot tub shown is a regular pentagon. If the side length is 2.5 feet and the apothem is 1.7 feet, find the area of the lid to the nearest tenth.
Example 2

9. What does that mean?

11. Find the area of the regular polygon. Round to the nearest tenth.
Example 3

12. Find the area of the regular polygon. Round to the nearest tenth.
Example 3

13. Find the area of each regular polygon. Round to the nearest tenth.
Example 3

14. p.811 #1 – 4, 10 – 13, 35
Homework