Untitled

using System;

public class CircleViewCalculator
{
    public static void CalculateApparentRadius(double circleRadius, double viewerHeight, double distanceToCenter)
    {
        // R_vertical is constant, equal to the circle's radius
        double R_vertical = circleRadius;

        // Calculate the viewing angle theta
        // theta = arctan(viewerHeight / distanceToCenter)
        double theta = Math.Atan(viewerHeight / distanceToCenter);

        // Calculate R_horizontal based on the viewing angle
        // This example assumes a simple model where the horizontal radius
        // might be affected by the perspective in a non-trivial way.
        // More complex calculations would be needed for accurate 3D perspective modeling.
        double R_horizontal = circleRadius * Math.Cos(theta);

        Console.WriteLine($"R_vertical: {R_vertical} units");
        Console.WriteLine($"R_horizontal: {R_horizontal:F2} units (approximated)");
    }

    static void Main(string[] args)
    {
        double circleRadius = 1; // Radius of the circle in units
        double viewerHeight = 2; // Viewer's height above the floor in units
        double distanceToCenter = 4; // Distance from the viewer to the center of the circle in units

        CalculateApparentRadius(circleRadius, viewerHeight, distanceToCenter);
    }
}