# Area of an ellipse Calculator

## Calculates the area, circumference, ellipticity and linear eccentricity of an ellipse given the semimajor and semininor axes.

semimajor axis a
semiminor axis b
 b≦a

area S
circumference L
ellipticity c
linear eccentricity f
 $\normal Ellipse\\\vspace{5}(1)\ area:\hspace{85} S=ab\pi,\hspace{20} b\le a\\(2)\ circumference:\\\hspace{20} L=4aE(k),\hspace{20} k=\sqrt{1-({\large\frac{b}{a}})^2}\\\vspace{5}\hspace{20} E(k):\ 2nd\ complete\ elliptic\ integral\\(3)\ ellipticity:\hspace{40} c={\large\frac{b}{a}}\\\vspace{5}(4)\ linear\ eccentricity :\ f=\sqrt{a^2-b^2}\\$

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