Designing an Octagon Hay Feeder

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					Designing an Octagon
     Hay Feeder




       Dickson Octagon Hay
             Feeder
        Objectives

The student will
• Translate word phrases &
  sentences into expressions
  and equations
• Solve linear equations
  (determine angle and degree
  of cut)
• Draw and analyze
  dimensional figures
• Use tools to construct figures
           Dickson Octagon Hay
                 Feeder
        Definitions

• Polygon
  – A simple closed curve made
    up of           segments
    (each called a “side”)
• Complimentary angles
  – Two angles whose sum is 90
    degrees
• Perpendicular
  – Two lines intersecting in a 90
    degree angle

            Dickson Octagon Hay
                  Feeder
   Definitions (cont.)

• Proportion
  – A statement that ratios are
    equal
• Unit of measure
  – Linear feet or inches
• Octagon
  – Eight sided polygon
• Pentagon (5 sides) and
  Hexagon (6 sides)


            Dickson Octagon Hay
                  Feeder
Formula for Interior
       Angle
   of a Polygon

  Angle = (N-2) • 180°
               N

  (number of sides minus two,
  multiplied by 180 degrees, then
  divided by the number of sides)
  N = number of sides




       Dickson Octagon Hay
             Feeder
  Formula for “cut of
       angle”
• Divide the degree of angle by
  2
• Subtract the degree from 90

Ex.   Degree of cut = 135°÷ 2
             67.5° =
       90° - 67.5° = 22.5°




           Dickson Octagon Hay
                 Feeder
 Optional Formula for
    “cut of angle”
• Shortcut for finding the “cut
  of angle” is to use 180º
  divided by the number of
  sides  (180º  N)
• Example: “cut of angle” for a
  pentagon
• 180º  5 = 36º




           Dickson Octagon Hay
                 Feeder
 Finding the Length of
          Side
• To find the length of the
  sides of an octagon feeder is
  to use the formula
  2rTan(180º/N) or
  dTan(180º/N), where r is
  radius and d is diameter.
• Ex.: 7’ diameter feeder
      7Tan(180º/8) =
  7Tan(22.5º) =
   7(.4142) =
   2.9” or 2’ 11”

           Dickson Octagon Hay
                 Feeder