Ellipse Calculator
Ellipse: a planned Super Calculator tool. Covers semi-major axis a and semi-minor axis b. Stub page while the tool and its worked example are prepared.
Ellipse Calculator is a planned calculator in the mathematics section of Super Calculator, covering geometry and trigonometry.
What this calculator will compute
Inputs: semi-major axis a, semi-minor axis b and or axis and eccentricity.
Outputs: area, perimeter, eccentricity, focal points, latus rectum and standard equation.
Formula, recorded as scope and not yet verified against a primary source: Area = pi a b exactly. Perimeter has no elementary closed form and requires the complete elliptic integral of the second kind, with Ramanujan’s second approximation pi(3(a+b) - sqrt((3a+b)(a+3b))) accurate to better than one part in 10^7 for moderate eccentricity. Focal distance c = sqrt(a^2 - b^2).
Status
This page is a stub. The calculator is not built, no figure on this page has been verified against the authority that sets it, and nothing here should be used to make a decision. The page exists so that the site structure is complete and so that articles can link this concept on first mention.
The stub carries noindex, nofollow and is excluded from the sitemap.