Ellipse Calculation
Calculators and formulas for calculating ellipses
This online calculator calculates the permeter and the area of an ellipse.
Enter the two semi-axes a and b. The semi-major axis is the axis from the center to the most distant point of the ellipse, the semi-minor axis is the axis from the center to the closest point of the ellipse. The scope is calculated using an approximation formula that has an error of max. 0.04%.
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Formulas for calculating ellipses
Area of an ellipse
\(\displaystyle A = a · b · π\)
Perimeter \(P \)
\(\displaystyle P = π · (a+b) · \left( 1+ \frac{3 · λ^2}{10+\sqrt{4-3*λ^2}}\right) \)
\(\displaystyle λ = \frac{a - b ·}{a+b}\)
*)The scope is determined using an approximation formula that has a maximum error of 0.04%.
Angle functions
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