^ Outer Radius (Tooth Radius). The radius of your farthest point of impact. Use the same distance units as above.
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Expression 15: "r" equals 2r=2
negative 10−10
1010
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^ Inner Radius. Black circle is your weapon "hub" area. Use the same distance units as everywhere else.
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Now to graph everything. Below is the actual math for those of you that care.
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Expression 18: "x" squared plus "y" squared equals "R" squared Has graph. To audio trace, press ALT+T.x2+y2=R2
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Expression 19: "x" squared plus "y" squared less than or equal to "r" squared Has graph. To audio trace, press ALT+T.x2+y2≤r2
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Expression 20: "y" equals "x" left brace, StartFraction, StartRoot, 2 , EndRoot "R" Over 2 , EndFraction less than or equal to "x" less than or equal to StartFraction, StartRoot, 2 , EndRoot "R" Subscript, "m" "a" "x" , Baseline Over 2 , EndFraction , right brace Has graph.y=x2R2≤x≤2Rmax2
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Expression 21: "R" squared equals "x" squared plus "y" squared Has graph. To audio trace, press ALT+T.R2max=x2+y2
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^ Max Tooth Radius vs Current Tooth Radius
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Expression 23: "y" equals "x" left brace, StartFraction, StartRoot, 2 , EndRoot "R" Subscript, "m" "a" "x" , Baseline Over 2 , EndFraction less than or equal to "x" less than or equal to StartFraction, StartRoot, 2 , EndRoot "R" Over 2 , EndFraction , right brace Has graph. To audio trace, press ALT+T.y=x2Rmax2≤x≤2R2