Area of a Regular Polygon
• Apothem ­ a perpendicular segment from the center to a side of the polygon
• The radius goes from the center to a vertex of the polygon
apothem
hexagon has 6 ≅ triangles
The apothem in a regular hexagon will always be
½ side √3
apothem perimeter
Area= 2
May 10­7:57 PM
Ex. 1
The apothem of a regular hexagon is 3√3 in long. The length of one side is 6 in. long. Find the area
3√ 3
6
Ex. 2
In a regular heptagon the apothem is 7√3 and its side is 6. Find the area
May 10­8:09 PM
1
Ex. 3
The area of a regular hexagon is 800 m2. If the length of the apothem is 10m what is the length of each side.
Ex. 4
Given a regular hexagon with side length of 12in. Find the area.
May 10­8:15 PM
8
May 11­9:17 AM
2