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i need help finding the arc

 May 15, 2015

Best Answer 

 #1
avatar+26364 
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i need help finding the arc

$$\rm{circumference~circle~}=2\cdot\pi \cdot r\\\\
\begin{array}{rcl}
\rm{arc~} &=& 2\cdot\pi \cdot r \cdot \dfrac{\varphi\ensurement{^{\circ}}} {360\ensurement{^{\circ}}}\\\\
\rm{arc~} &=& 2\cdot\pi \cdot r \cdot \dfrac{315\ensurement{^{\circ}}} {360\ensurement{^{\circ}}}\\\\
\rm{arc~} &=& r \underbrace{
\cdot 315\ensurement{^{\circ}} \cdot \dfrac{2\cdot\pi~\rm{rad}} {360\ensurement{^{\circ}}} }_{=\varphi_\rm{rad}} }
\qquad | \qquad \rm{arc~}=r\cdot \varphi_\rm{rad}\\\\
\rm{arc~} &=& 11 \cdot 315 \ensurement{^{\circ}}\cdot \dfrac{\pi} {180\ensurement{^{\circ}}}\\\\
\rm{arc~} &=& 11 \cdot 1.75 \cdot \pi\\\\
\rm{arc~} &=& 60.4756585816\\\\
\end{array}$$

 May 15, 2015
 #1
avatar+26364 
+10
Best Answer

i need help finding the arc

$$\rm{circumference~circle~}=2\cdot\pi \cdot r\\\\
\begin{array}{rcl}
\rm{arc~} &=& 2\cdot\pi \cdot r \cdot \dfrac{\varphi\ensurement{^{\circ}}} {360\ensurement{^{\circ}}}\\\\
\rm{arc~} &=& 2\cdot\pi \cdot r \cdot \dfrac{315\ensurement{^{\circ}}} {360\ensurement{^{\circ}}}\\\\
\rm{arc~} &=& r \underbrace{
\cdot 315\ensurement{^{\circ}} \cdot \dfrac{2\cdot\pi~\rm{rad}} {360\ensurement{^{\circ}}} }_{=\varphi_\rm{rad}} }
\qquad | \qquad \rm{arc~}=r\cdot \varphi_\rm{rad}\\\\
\rm{arc~} &=& 11 \cdot 315 \ensurement{^{\circ}}\cdot \dfrac{\pi} {180\ensurement{^{\circ}}}\\\\
\rm{arc~} &=& 11 \cdot 1.75 \cdot \pi\\\\
\rm{arc~} &=& 60.4756585816\\\\
\end{array}$$

heureka May 15, 2015

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