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.

Area of an Ellipse formula

\(\large{ A_{area} = \pi \; \left( a \; b - e \; f \right)  }\)

Where:

\(\large{ A_{area} }\) = area

\(\large{ a }\) = length semi-major axis

\(\large{ b }\) = length semi-minor axis

\(\large{ e }\) = length inner semi-major axis

\(\large{ f }\) = length inner semi-minor axis

\(\large{ \pi }\) = Pi

Inner Semi-major Axis Length of an Ellipse formula

\(\large{ e = a-g }\)

Where:

\(\large{ e }\) = length semi-major axis

\(\large{ b }\) = length semi-minor axis

\(\large{ g }\) = ring width

Inner Semi-minor Axis Length of an Ellipse formula

\(\large{ f = b-g }\)

Where:

\(\large{ f }\) = length semi-minor axis

\(\large{ b }\) = length semi-minor axis

\(\large{ g }\) = ring width