1. 10/28/10 ©Evergreen Public Schools 2010 1 Area of Regular Polygons Vocabulary: apothem

2. ©Evergreen Public Schools 2010 2 Learning Target I can find the area of regular polygons. What is a regular polygon?

3. ©Evergreen Public Schools 2010 3 LaunchLaunch How do you find the area of a triangle? How do you find the measure of one interior angle of a regular hexagon?

4. ©Evergreen Public Schools 2010 4 ExploreExplore

5. 5 Equilateral Triangle Find the area of the equilateral triangle.

6. ©Evergreen Public Schools 2010 6 Equilateral Triangle Explain the process you used to find the area.

7. ©Evergreen Public Schools 2010 7 Regular Hexagon Find the area of the regular hexagon.

8. ©Evergreen Public Schools 2010 8 Regular Hexagon Explain the process you used to find the area.

9. ©Evergreen Public Schools 2010 9 It’s the Write Time What does the process of the find the areas of the triangle and hexagon have in common?

10. ©Evergreen Public Schools 2010 10 Regular Octagon Find the area of the regular hexagon.

11. ©Evergreen Public Schools 2010 11 Regular Octagon Explain the process you used to find the area.

12. ©Evergreen Public Schools 2010 12 Regular Pentagon Find the area of the regular hexagon.

13. ©Evergreen Public Schools 2010 13 Regular Pentagon Explain the process you used to find the area.

14. ©Evergreen Public Schools 2010 14 It’s the Write Time What does the process of the find the areas of the hexagon, octagon and pentagon have in common?

15. ©Evergreen Public Schools 2010 15 How does this formula match your process? Area of a Regular Polygon The area of a regular polygon is given by the formula below.regular polygonformula Area = (½)(apothem)(perimeter)apothemperimeter

16. ©Evergreen Public Schools 2010 16 Team Practice Use the formula Area = (½)(apothem)(perimeter)apothemperimeter Find the area of a regular decagon with side length of 8 cm. Find the area of a regular hexagon with side length of 8 cm.

17. ©Evergreen Public Schools 2010 17 Debrief How is the apothem different from segment b? b

18. ©Evergreen Public Schools 2010 18 5 3 1 2 4 Learning Target Did you hit the target? I can find the area of regular polygons. Rate your understanding of the target from 1 to 5. 5 is a bullseye!

19. ©Evergreen Public Schools 2010 19 Practice Area of Regular Polygons