Transcript Designing an Octagon Hay Feeder

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
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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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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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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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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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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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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”
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Feeder