Hollow Ellipse

on . Posted in Plane Geometry

  • hollow ellipse 2hollow ellipse 1Hollow ellipse (a two-dimensional figure) has two ellipses with a conic section or a stretched circle.
  • The major axis is always the longest axis in an ellipse.
  • The minor axis is always the shortest axis in an ellipse.

Hollow Ellipse Index

 

 

 

Area of a Hollow ellipse formula

\( A_{area} \;=\; \pi \; ( a \; b - e \; f )  \) 
Symbol English Metric
\( A \) = area \( in^2 \)  \( mm^2 \) 
\( a \) = length semi-major axis \( in \) \( mm \)
\( b \) = length semi-minor axis \( in \) \( mm \)
\( e \) = length inner semi-major axis \( in \) \( mm \)
\( f \) = length inner semi-minor axis \( in \) \( mm \)
\( \pi \) = Pi \(3.141 592 653 ...\)

 

Inner Semi-major Axis Length of a Hollow ellipse formula

\( e \;=\; a - g \) 
Symbol English Metric
\( a \) = length semi-major axis \( in \) \( mm \)
\( b \) = length semi-minor axis \( in \) \( mm \)
\( g \) = ring width \( in \) \( mm \)

 

Inner Semi-minor Axis Length of a Hollow ellipse formula

\( f \;=\; b - g \) 
Symbol English Metric
\( a \) = length semi-major axis \( in \) \( mm \)
\( b \) = length semi-minor axis \( in \) \( mm \)
\( g \) = ring width \( in \) \( mm \)

 

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Tags: Ellipse