10.3 regular polygons.notebook
March 08, 2017
3/8/17 - Warm Up Problem
Find the perimeter and area of each shape.
6 in
8 in
8 in
8 in
6 in
6 in
6 in
10.3 regular polygons.notebook
Section 10.3 ‐ Areas of Regular Polygons
Goals
• identify the radius and apothem of a regular polygon
• find perimeter and area of regular polygons
Regular Polygon: all sides congruent & all angles congruent
Parts of a regular polygon
Center: the center of the polygon's circumscribed circle
Radius: the distance from the center to a vertex
Apothem: perpendicular distance from the center to the midpoint of a side
March 08, 2017
10.3 regular polygons.notebook
March 08, 2017
5.5 cm
What is the area of the
yellow triangle?
8 cm
What is the area of the
whole pentagon?
10.3 regular polygons.notebook
March 08, 2017
Area of a Regular Polygon
A = ½Pa
Area = ½ x Perimeter x apothem
Perimeter =
Area =
8
7
10.3 regular polygons.notebook
March 08, 2017
Find the perimeter and area
of the regular polygon.
6 cm
2
6.
cm
Perimeter = 6(7) = 42 cm
Area = .5(42)(6.2) = 130.2 cm
2
10.3 regular polygons.notebook
No Assignment
March 08, 2017