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11.6 Area of Regular Polygons                                        March 08, 2012




    B
                                106.03 in.2, 141.31 in.2
    E
    L
    L                                           211.09 cm2

    W
    O
    R
                                                             23.18 ft2

    K




HW pg. 765 #6­16, 27­29                                                               1
11.6 Area of Regular Polygons                                        March 08, 2012




    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




HW pg. 765 #6­16, 27­29                                                               2
11.6 Area of Regular Polygons                            March 08, 2012




      1. A is about _____
         s = 24 cm
         a = 24.9 cm




     2. Regular nonagon: a = 9.6cm
                 and
         A = 302.4 cm2,
         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.




HW pg. 765 #6­16, 27­29                                                   3
11.6 Area of Regular Polygons               March 08, 2012




                          11.6 HW pg. 765
                           #6-16, 27-29




HW pg. 765 #6­16, 27­29                                      4

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11.6 notes

  • 1. 11.6 Area of Regular Polygons March 08, 2012 B 106.03 in.2, 141.31 in.2 E L L 211.09 cm2 W O R 23.18 ft2 K HW pg. 765 #6­16, 27­29 1
  • 2. 11.6 Area of Regular Polygons March 08, 2012 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 HW pg. 765 #6­16, 27­29 2
  • 3. 11.6 Area of Regular Polygons March 08, 2012 1. A is about _____ s = 24 cm a = 24.9 cm 2. Regular nonagon: a = 9.6cm and A = 302.4 cm2, 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. HW pg. 765 #6­16, 27­29 3
  • 4. 11.6 Area of Regular Polygons March 08, 2012 11.6 HW pg. 765 #6-16, 27-29 HW pg. 765 #6­16, 27­29 4