1. Standards:

4. Theorem 11.11 Area of a Regular Polygon
The area of a regular n-gon with side
length of s is half the product of the
Apothem a and the perimeter P, so…
𝑨= 𝟏 𝟐 𝒂 𝑷 𝑨𝒓𝒆𝒂= 𝟏 𝟐 (𝒂𝒑𝒐𝒕𝒉𝒆𝒎)(𝑷𝒆𝒓𝒊𝒎𝒆𝒕𝒆𝒓)
𝑨= 𝟏 𝟐 𝒂 ∙𝒏𝒔 𝑨𝒓𝒆𝒂= 𝟏 𝟐 (𝒂𝒑𝒐𝒕𝒉𝒆𝒎)(𝒏𝒖𝒎𝒃𝒆𝒓 𝒐𝒇 𝒔𝒊𝒅𝒆𝒔)(𝒔𝒊𝒅𝒆 𝒍𝒆𝒏𝒈𝒕𝒉)

5. Example
Find the apothem of a square with side length 10.

6. Example Find the apothem of a hexagon with radius 8
Find the area of the Hexagon

7. Practice
Find the area of a square with an apothem of 4.

8. Practice
Find the area of a hexagon with side length of 12

9. Practice
Find the area of an equilateral triangle with an apothem of 2

11. Homework:
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