11 4 Areas Of Regular Polygons

11 4 Areas Of Regular Polygons

• 1.
  11-4 Areas ofRegular Polygons
• 2.
  11.4 Areas ofRegular 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 RegularPolygons Area of a Regular Polygon
• 4.
  Areas of RegularPolygons Area of a Regular Polygon Area = (area of the  ) x (# of  ’s)
• 5.
  Areas of RegularPolygons 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 RegularPolygons 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 RegularPolygons Area of a Regular Pentagon Area = (½ apothem x side length) x (number of sides) Area = ½ apothem x Perimeter
• 8.
  Areas of RegularPolygons 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 RegularPolygons Area of a Regular Polygon How to figure out the apothem
• 10.
  Areas of RegularPolygons Area of a Regular Polygon How to figure out the apothem C B A
• 11.
  Areas of RegularPolygons Area of a Regular Polygon How to figure out the apothem P-Thag Theorem C B Apothem
• 12.
  Areas of RegularPolygons Area of a Regular Polygon How to figure out the apothem tan x = __ B__ apothem C B x ° Apothem
• 13.
  Areas of RegularPolygons 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 RegularPolygons 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 4431-12all, 14,16