File:01-Elfeck-2.svg

Description01-Elfeck-2.svg	Deutsch: Elfeck, Näherungskonstruktion English: Hendecagon, approximate construction
Date	31 March 2016
Source	Own work
Author	Petrus3743
SVG development InfoField	The SVG code is valid.  This trigonometry was created with GeoGebra by Petrus3743.  This SVG trigonometry uses the path text method.

• Konstruierte Seite des Elfecks ${\displaystyle a=0{,}563465106751115...\;[LE]}$
• Seite des Elfecks ${\displaystyle a_{SOLL}=2\cdot \sin \left({\frac {180^{\circ }}{11}}\right)=0{,}563465113682859...\;[LE]}$
• Absoluter Fehler der konstruierten Seite ${\displaystyle F_{a}=a-a_{SOLL}=-6{,}93...E-9\;[LE]}$
• Konstruierter Zentriwinkel des Elfecks ${\displaystyle \alpha =32{,}7272723133461...^{\circ }}$
• Zentriwinkel des Elfecks ${\displaystyle \alpha _{SOLL}={\frac {360^{\circ }}{11}}=32{,}{\overline {72}}^{\circ }}$
• Absoluter Fehler des konstruierten Zentriwinkels ${\displaystyle F_{\alpha }=\alpha -\alpha _{SOLL}=-4{,}139...E-7^{\circ }}$

Bei einem Radius r = 1.000 km wäre der absolute Fehler der 1. Seite ca. -6,9 mm.

• Constructed side of the hendecagon ${\displaystyle a=0.563465106751115...\;[unit\;of\;length]}$
• Side of the hendecagon ${\displaystyle a_{should}=2\cdot \sin \left({\frac {180^{\circ }}{11}}\right)=0.563465113682859...\;[unit\;of\;length]}$
• Absolute error of the constructed side ${\displaystyle F_{a}=a-a_{should}=-6.93...E-9\;[unit\;of\;length]}$
• Constructed central angle of the hendecagon ${\displaystyle \alpha =32.7272723133461...^{\circ }}$
• Central angle of the hendecagon ${\displaystyle \alpha _{should}={\frac {360^{\circ }}{11}}=32.{\overline {72}}^{\circ }}$
• Absolute error of the constructed central angle ${\displaystyle F_{\alpha }=\alpha -\alpha _{should}=-4.139...E-7^{\circ }}$

At a circumscribed circle radius r = 1,000 km, the absolute error of the 1st side would be approximately ca. -6,9 mm.

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