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Dickson Octagon Hay Feeder
Designing an Octagon
Hay Feeder
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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
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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
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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)
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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
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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°
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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
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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 feeder7Tan(180º/8) =
7Tan(22.5º) = 7(.4142) = 2.9” or 2’ 11”