3 Overlapping Circles

on . Posted in Plane Geometry

  • 3 overlapping circles (a two-dimensional figure) with equal length arcs connecting at the vertices.

3 Overlapping Circles Index

3 overlapping circles 1A3 overlapping circles 43 overlapping circles 3 3 overlapping circles 2

 

 

 

 

 

 

 

 

Area of 3 Overlapping Circles formulas

\( A_1 \;=\; \left(3 \; \pi \; r^2\right) - \left(3 \; A_3\right) + A_4 \)

\( A_2 \;=\; \left(3 \; A_3\right) - \left(2 \; A_4\right)  \) 

\( A_3 \;=\; \left[ \; \left(\;2 \; (\pi\;/\;3)\; \right) - \sqrt{ 3\;/\;4 }\;\; \right] \; r^2  \) 

\( A_4 \;=\; \left( \pi - \sqrt{3}\; \right) \; (r^2\;/\;2)  \)

Symbol English Metric
 \( A \) = area  \(ft^2\) \(m^2\)
 \( \pi \) = Pi \(3.141 592 653 ...\)
 \( r \) = radius \(ft\) \(m\)

 

Perimeter of 3 Overlapping Circles formulas

\( P_1 \;=\; 3 \; \pi \; r  \) 

\( P_2 \;=\; 2 \; \pi \; r  \) 

\( P_3 \;=\; ( 4 \;/\; 3 ) \; \pi \; r  \) 

\( P_4 \;=\; \pi \; r  \)

Symbol English Metric
\( P \) = perimeter \(ft\) \(m\)
 \( \pi \) = Pi \(3.141 592 653 ...\)
 \( r \) = radius \(ft\) \(m\)

 

Piping Designer Logo 1 

Tags: Area Perimeter Circle