ArcGIS Pro 2.6 API Reference Guide
GeodesicEllipse Method (IGeometryEngine)
Example 

ArcGIS.Core.Geometry Namespace > IGeometryEngine Interface : GeodesicEllipse Method
The geodesic ellipse parameter that describes how to create the geodesic ellipse.
The function returns a piecewise approximation of a geodesic ellipse (or geodesic circle, if semiAxis1Length = semiAxis2Length). Constructs a geodesic ellipse centered on the specified point. If this method is used to generate a polygon or a polyline, the result may have more than one part, depending on the size of the ellipse and its position relative to the horizon of the coordinate system. When the method generates a polyline or a multipoint, the result vertices lie on the boundary of the ellipse. When a polygon is generated, the interior of the polygon is the interior of the ellipse, however the boundary of the polygon may contain segments from the spatial reference horizon, or from the GCS extent.
Syntax

Parameters

parameter
The geodesic ellipse parameter that describes how to create the geodesic ellipse.
spatialReference

Return Value

The geometry that contains the geodesic ellipse.
Exceptions
ExceptionDescription
Only Polygon, Polyline and Multipoint are supported for GeodesicEllipseParameter.OutGeometryType.
Either parameteror spatialReference is null.
The spatial reference is an image coordinate system.
Remarks
If the smaller axis is zero, the ellipse will degenerate to a line segment, a point, or an empty geometry (depending on the larger axis and output type). Otherwise, if VertextCount < 10, the number of vertices will default to 10.
Example
GeodesicEllipseParameter param = new GeodesicEllipseParameter();
param.AxisDirection = 4 * Math.PI / 3;
param.Center = new Coordinate2D(-120, 60);
param.LinearUnit = LinearUnit.Meters;
param.OutGeometryType = GeometryType.Polyline;
param.SemiAxis1Length = 6500000;
param.SemiAxis2Length = 1500000;
param.VertexCount = 800;

Geometry geometry = GeometryEngine.Instance.GeodesicEllipse(param, SpatialReferences.WGS84);
// geometry.IsEmpty = false

Polyline polyline = geometry as Polyline;
// polyline.PointCount = 801
// polyline.PartCount = 1
Requirements

Target Platforms: Windows 10, Windows 8.1, Windows 7

See Also

Reference

IGeometryEngine Interface
IGeometryEngine Members