The Ellipse Vertical Chord from Center calculator computes the chord of an ellipse where the chord is vertical at a distance from the semi-minor axis.
INSTRUCTIONS: Choose units and enter the following:
(A) Semi-Major Axis
(B) Semi-Minor Axis
(d) Distance from Minor Axis
Ellipse Vertical Chord from Center (VC): The results are returned in centimeters. However, these can be automatically converted to compatible units via the pull-down menu.
The Math / Science
The Ellipse Vertical Chord from Center equation computes the length of the vertical chord in an ellipse that is a distance from the semi-minor axis.
An ellipse is defined by the semi-major axis (A) and semi-minor axis (B).
Area of Ellipse: Computes the area of an ellipse based on the semi-major axis (a) and the semi-minor axis (b).
Rumanujan's Circumference of an Ellipse 1: The first of two of Rumanujan's approximations of the circumference (perimeter) of an ellipse based on the semi-major axis (a) and the semi-minor axis (b).
Rumanujan's Circumference of an Ellipse 2: The second Rumanujan approximations of the circumference (perimeter) of an ellipse based on the semi-major axis (a) and the semi-minor axis (b).
Circumference of an Ellipse (other) Another common estimation of the circumference (perimeter) of an ellipse based on the semi-major axis (a) and the semi-minor axis (b).
Ellipse Axis Length: Approximates one axis of an ellipse bases on the circumference and the other axis.
Eccentricity of an EllipseComputes the eccentricity of an ellipse which is based on the ratios of the semi-major axis (a) and the semi-minor axis (b).
Linear Eccentricity of an Ellipse (f) Computes the distance from the center to either foci (f), which is the linear eccentricity of an ellipse. This is based on the semi-major axis (a) and the semi-minor axis (b).
Mean Radius of an Ellipse Computes the mean radius of an ellipse. This would define a circle with the same approximate area, based on the ellipse's semi-major axis (a) and the semi-minor axis (b).
Elliptical Volume Computes the volume of a column with an elliptical base.