Ellipse

Written by Jerry Ratzlaff on . Posted in Plane Geometry

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Semi-major and Semi-minor Axis formula

\(a = \frac{A}{\pi b} \)

\(b = \frac{A}{\pi a} \)

Where:

\(a\) = semi-major axis (major radius)

\(b\) = semi-minor axis (minor radius)

\(A\) = area

\(\pi\) = Pi

Focus formula

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*Focus is a point used to define the conic section.

\(F = \sqrt { {F1}^2 - b^2 } \)

Where:

\(F\) = focus

\(b\) = semi-minor axis (minor radius)

\(F1\) = semi-major axis (major radius)

Perimeter formula

\(p= 2\pi \sqrt { \frac{1}{2} \left(a^2 + b^2 \right) } \)

Where:

\(p\) = perimeter

\(a\) = axis

\(b\) = axis

\(\pi\) = Pi

Area formula

\(A=\pi a b \)

Where:

\(A\) = area

\(a\) = axis

\(b\) = axis

\(\pi\) = Pi