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11 4 Areas Of Regular Polygons
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11 4 Areas Of Regular Polygons

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  • 1. 11-4 Areas of Regular Polygons
  • 2. 11.4 Areas of Regular Polygons
    • Area of a Regular Polygon
    Vocab : Center – in the center Radius - to a vertex Central angle –from 2 radii Apothem –perpendicular from center to side
  • 3. Areas of Regular Polygons
    • Area of a Regular Polygon
  • 4. Areas of Regular Polygons
    • Area of a Regular Polygon
      • Area = (area of the  ) x (# of  ’s)
  • 5. Areas of Regular Polygons
    • Area of a Regular Pentagon
      • Area = (area of the  ) x (# of  ’s)
      • Area = ( ½ apothem x side length) x (number of sides)
  • 6. Areas of Regular Polygons
    • Area of a Regular Pentagon
      • Area = (area of the  ) x (# of  ’s)
      • Area = ( ½ apothem x side length) x (number of sides)
  • 7. Areas of Regular Polygons
    • Area of a Regular Pentagon
      • Area = (½ apothem x side length) x (number of sides)
      • Area = ½ apothem x Perimeter
  • 8. Areas of Regular Polygons
    • Theorem 11.6
      • The area of a regular n-gon with side length s is half the product of the apothem a and the perimeter P
      • A = ½ aP
      • OR
      • A = ½ a x ns
  • 9. Areas of Regular Polygons
    • Area of a Regular Polygon
      • How to figure out the apothem
  • 10. Areas of Regular Polygons
    • Area of a Regular Polygon
      • How to figure out the apothem
    C B A
  • 11. Areas of Regular Polygons
    • Area of a Regular Polygon
      • How to figure out the apothem
      • P-Thag Theorem
    C B Apothem
  • 12. Areas of Regular Polygons
    • Area of a Regular Polygon
      • How to figure out the apothem
      • tan x = __ B__
      • apothem
    C B x ° Apothem
  • 13. Areas of Regular Polygons
    • Area of a Regular Polygon
      • How to figure out the apothem
      • tan x = __ B__
      • apothem
      • Apothem =_ B__
      • tan x
    C B x ° Apothem
  • 14. Areas of Regular Polygons
    • Area of a Regular Polygon
      • How to figure out the apothem
      • cos x = apothem
      • C
      • Apothem = cos x
      • C
    C B x ° Apothem
  • 15. SPICSA P 443 1-12all, 14,16