Hollow Ellipse

Written by Jerry Ratzlaff 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 Area formula

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

 

Hollow ellipse Inner Semi-major Axis Length formula

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

 

Hollow ellipse Inner Semi-minor Axis Length formula

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

 

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