3 Connecting Circles

on . Posted in Plane Geometry

  • 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

3 Connecting Circles Index

 

Arc Length of a Circle Arc Triangle formula

\( n \;=\; \frac{\pi}{3} \;r  \) 
Symbol English Metric
\( n \) = arc length \(ft\) \(m\)
\( \pi \) = Pi \(3.141 592 653 ...\)
\( r \) = radius \(ft\) \(m\)

 

Area of a Circle Arc Triangle formula

\( A_{area} \;=\; ( \sqrt{ \frac{3}{2} } + 3 ) \; ( r^2 - 3\;r\;n - 3\;r\;i ) \;/\;2  \) 
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

 \( i \;=\; 1 - \sqrt{ \frac{3}{2} } \; r  \) 
Symbol English Metric
\( i \) = arc insert \(ft\) \(m\)
\( r \) = radius \(ft\) \(m\)

 

Perimeter of a Circle Arc Triangle formula

\( P \;=\; 3\;n  \) 
Symbol English Metric
\( P \) = perimeter \(ft\) \(m\)
\( n \) = arc length \(ft\) \(m\)

 

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Tags: Circle