Download Areas of regular polygons

AREAS OF REGULAR
POLYGONS
Geometry
Regular Polygons
• These are polygons with congruent sides and congruent
angles.
• Apothem: A segment drawn from the center of a regular polygon
perpendicular to a side of the polygon.
• Radius: A segment drawn from the center of a regular polygon to
a vertex of the polygon.
Example
If ABCDEFGH is a regular octagon with center J, name
2 apothems ____________
2 radii ________________
Perimeter of a Regular Polygon
• The distance around, or P=ns where
• n = number of sides
• s = measure of one side
• Example: Find the perimeter of a regular decagon with
each side = 6 m.
Area of Regular Polygons
• A = area
• P = perimeter
• a = apothem
Examples
• Find the area of a
regular hexagon with
perimeter = 36 m.
• Find the area of a
regular octagon with
radius = 10 in.
Assignment
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