Ellipse Area

The Area of an Ellipse calculator computes the area of an ellipse based on the semi-major (a) and semi-minor (b) axes.

INSTRUCTIONS:  Choose units and enter the following:

• (a) Length of the semi-major axis
• (b) Length of the semi-minor axis

Area of an Ellipse (A): The calculator returns the area of the ellipse in square meters.  The user can automatically convert the square meters to one of many other area units (e.g. square miles) via the pull-down menu next to the resulting answer.

The Math / Science

The formula for the area of an ellipse is:

A = π•a•b

where:

• A = Area of the Ellipse
• b = length of the semi-minor axis
• a = length of the semi-major axis 

Ellipse Calculators

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 Chords

• 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 (3D Elliptical Shape)

• 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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