1. 7-5 Areas of Regular Polygons
Thursday, May 9
7-5 Areas of Regular Polygons

2. Unit 9 Warm-Up 3
1. Find the area: 2. Find the area:

3. Homework Check Practice 7-4

4. HW
8. 56

5. 7-5 Area of Regular Polygons
Regular Polygon : has all equal sides and all equal angles (equilateral and equiangular) Regular Hexagon:

6. Terms:
Center of a regular polygon: is the center of the circumscribed circle. Radius: is the distance from the center to a vertex Apothem: the perpendicular distance from the center to a side of the polygon

7. What type of triangles are the 6 triangles?
Isosceles Triangles!

8. What is the measure of each interior of a hexagon angle?
180(6-2) = 180(4)
=> 720 Total Interior
Each interior = 720/6
= 120

9. What is the measure of each base angle in each isosceles triangle?
120 / 2
= 60
Use Special Right Triangles to find the length of the apothem

10. Area of a Regular Polygon:
A = area s = side length a = apothem n = number of sides

11. Ex 1.
Find the area:

12. Ex 2
Find the area: The diameter is 12

13. Ex 3 – Find the area of the reg. polygon if the side length is 12

14. Ex. 4 – Find the area of the reg. polygon

15. Ex 5. Find each missing angle

16. Class Work
Complete and Turn in

17. Worksheet! Quiz on Friday (Tomorrow)!!
Homework
Worksheet! Quiz on Friday (Tomorrow)!!