Calculate the arc length, chord length, and height of an ellipse using the major axis radius, minor axis radius, and central angle
Author: tonagaiExecutions: 54521
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Enter the major axis radius, minor axis radius, and central angle of an ellipse to calculate the arc length L, chord length d, and height h of the ellipse.
When a > b, I am calculating L = 2*a*E(t, e), d = 2*a*sin(t), and h = b*(1 - cos(t)).
Here, e = √(a² - b²) / a, E(t, e) is the incomplete elliptic integral of the second kind, and t = atan((b/a) tan(θ/2)).
When b > a, L = 2*b*(E(π/2, e) - E(π/2 - t, e)), where e = √(b² - a²) / b
Here, e = √(a² - b²) / a, E(t, e) is the incomplete elliptic integral of the second kind, and t = atan((b/a) tan(θ/2)).
When b > a, L = 2*b*(E(π/2, e) - E(π/2 - t, e)), where e = √(b² - a²) / b
| Arc length | |
| String Length | |
| Yataka |
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