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3 Connecting Circles

  • circular arc triangle 23 connecting circles (a two-dimensional figure) has three equal length arcs connecting at the vertices bound by circles.
  • a = b = c
  • 3 arcs
  • 3 vertexs

 

Arc Length of a Circle Arc Triangle formula

\( n \;=\; \dfrac{\pi }{ 3 } \cdot r  \) 
Symbol English Metric
\( n \) = Arc Length \(ft\) \(m\)
\( \pi \) = Pi \(3.141 592 653 ...\) \(3.141 592 653 ...\)
\( r \) = Radius \(ft\) \(m\)

 

Area of a Circle Arc Triangle formula

\( A_{area} \;=\;   \dfrac{ \left( \sqrt{ \dfrac{3}{2} } + 3 \right) \cdot ( r^2 - 3\cdot r\cdot n - 3\cdot r\cdot i ) }{ 2 } \) 
Symbol English Metric
\( A_{area} \) = Area \(ft^2\) \(m^2\)
\( i \) = Arc Insert \(ft\) \(m\)
\( n \) = Arc Length \(ft\) \(m\)
\( r \) = Radius \(ft\) \(m\)

 

Insert of a Circle Arc Triangle formula

 \( i \;=\;  1 - \sqrt{ \dfrac{3}{2} } \cdot r  \) 
Symbol English Metric
\( i \) = Arc Insert \(ft\) \(m\)
\( r \) = Radius \(ft\) \(m\)

 

Perimeter of a Circle Arc Triangle formula

\( P \;=\; 3 \cdot n  \) 
Symbol English Metric
\( P \) = Perimeter \(ft\) \(m\)
\( n \) = Arc Length \(ft\) \(m\)

 

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