3 Connecting Circles

• 3 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

\(\large{ n = \frac{\pi}{3} \;r  }\)

Where:

Units	English	SI
\(\large{ n }\) = arc length	\(\large{ft}\)	\(\large{m}\)
\(\large{ \pi }\) = Pi	\(\large{dimensionless}\)
\(\large{ r }\) = radius	\(\large{ft}\)	\(\large{m}\)

 

Area of a Circle Arc Triangle formula

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

Where:

Units	English	SI
\(\large{ A_{area} }\) = area	\(\large{ft^2}\)	\(\large{m^2}\)
\(\large{ i }\) = arc insert	\(\large{ft}\)	\(\large{m}\)
\(\large{ n }\) = arc length	\(\large{ft}\)	\(\large{m}\)
\(\large{ r }\) = radius	\(\large{ft}\)	\(\large{m}\)

 

Insert of a Circle Arc Triangle formula

\(\large{ i = 1 - \sqrt{ \frac{3}{2} } \; r  }\)

Where:

Units	English	SI
\(\large{ i }\) = arc insert	\(\large{ft}\)	\(\large{m}\)
\(\large{ r }\) = radius	\(\large{ft}\)	\(\large{m}\)

 

Perimeter of a Circle Arc Triangle formula

\(\large{ P = 3\;n  }\)

Where:

Units	English	SI
\(\large{ P }\) = perimeter	\(\large{ft}\)	\(\large{m}\)
\(\large{ n }\) = arc length	\(\large{ft}\)	\(\large{m}\)