Segment of an Ellipse
Ellipse segment (a two-dimensional figure) is an interior part of an ellipse bound by a chord and an ellipse.- Chord is a line segment on the interior of the ellipse.
- Major axis is always the longest axis in an ellipse.
- Minor axis is always the shortest axis in an ellipse.
- Semi-major axis is half of the longest axis of an ellipse.
- Semi-minor axis is half of the shortest axis of an ellipse.
Segment Area formula |
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| \(\large{ A_{area} \;=\; \frac{c\;d}{4} \; \left[ arccos \left( 1-\frac{2\;h}{c} \right) - \left( 1-\frac{2\;h}{c} \right) \; \sqrt{ \frac{4\;h}{c} } - \frac{4\;h^2}{c^2} \right] }\) | ||
| Symbol | English | Metric |
| \( A_{area} \) = area | \( in^2 \) | \( mm^2 \) |
| \( h \) = height | \( in \) | \( mm \) |
| \( c \) = major axis | \( in \) | \( mm \) |
| \( d \) = minor axis | \( in \) | \( mm \) |
Tags: Ellipse