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` = "Ellipse Vertical Chord from Center"`

Enter a value for all fields

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:

**(**Semi-Major Axis**A**)**(**Semi-Minor Axis**B**)**(**Distance from Minor Axis**d**)

**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 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.

`VC = 2*(B/A) * sqrt(A*A-d*d)`

where:

- VC = length of vertical chord
- A = length of semi-major axis
- B = length of semi-minor axis
- d = 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 Ellipse**Computes 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.

**Ellipse Vertical Chord from Edge (VE):**Computes the length of the vertical chord of an ellipse based on distance from the edge.**Ellipse Vertical Chord from Center (VC):**Computes the length of the vertical chord of an ellipse based on distance from the center.**Ellipse Horizontal Chord from Edge (HE):**Computes the length of the horizontal chord of an ellipse based on distance from the edge.**Ellipse Horizontal Chord from Center (HC)**: Computes the length of the vertical chord of an ellipse based on distance from the center.

**Ellipsoid - Volume**computes the volume of an ellipsoid based on the length of the three semi-axes (a, b, c)**Ellipsoid - Surface Area**computes the surface area of an ellipsoid based on the length of the three semi-axes (a, b, c)**Ellipsoid - Mass or Weight**computes the mass or weight of an ellipsoid based on the length of the three semi-axes (a, b, c) and the mean density.

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