The document provides information about calculating the areas of regular polygons, including two formulas: Area = 1/2aP where a is the apothem and P is the perimeter, and A = 1/2ans where n is the number of sides and s is the length of each side. It includes examples of using the formulas to find the area of polygons where values like the number of sides, length of sides, and apothem are given. The document concludes by listing homework problems from page 765, numbers 6 through 16 and 27 through 29, on solving for regular polygon areas.

1. 11.6 Area of Regular Polygons March 25, 2013
B
106.03 in.2, 141.31 in.2
E
L
L 211.09 cm2
W
O
R 23.18 ft2
K
Mar 8­7:59 AM
HW pg. 765 #6­16, 27­29 1

2. 11.6 Area of Regular Polygons March 25, 2013
11.6 Areas of Regular Polygons
Objectives:
1. To apply area formulas of regular polygons to solve problems.
2. To develop problem-solving skills.
What do we know about regular polygons?
Apothem: is a perpendicular
segment from the center of the
polygon to a side of the polygon.
Area of a Regular Polygon = 1/2aP a is the apothem
P is the perimeter
or A = 1/2ans
where n = number of sides
s = length of a side
Jan 30­7:44 AM
HW pg. 765 #6­16, 27­29 2

3. 11.6 Area of Regular Polygons March 25, 2013
1. A is about _____
s = 24 cm
a = 24.9 cm
2. Regular nonagon: a = 9.6cm
and
A = 302.4 cm 2,
P is about _________
3. Find the shaded area of the regular octagon ROADSIGN.
The apothem measures about 20 cm. Segment GI measures
about 16.6 cm.
Jan 30­9:41 AM
HW pg. 765 #6­16, 27­29 3

4. 11.6 Area of Regular Polygons March 25, 2013
11.6 HW pg. 765
#6-16, 27-29
Jan 29­7:09 AM
HW pg. 765 #6­16, 27­29 4