Hollow Ellipse
Hollow 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 a Hollow ellipse formula |
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| \(\large{ A_{area} = \pi \; \left( a \; b - e \; f \right) }\) | ||
| 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 | \(\large{3.141 592 653 ...}\) | |
Inner Semi-major Axis Length of a Hollow ellipse formula |
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| \(\large{ e = a-g }\) | ||
| 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 | \(\large{ in }\) | \(\large{ mm }\) |
Inner Semi-minor Axis Length of a Hollow ellipse 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 | \(\large{ in }\) | \(\large{ mm }\) |
