Minor Axis of Ellipse given Area and Major Axis Calculator

Calculate Minor Axis of Ellipse





Formula

The formula to calculate the Minor Axis of an Ellipse given its Area and Major Axis is:

\[ 2b = \frac{4A}{\pi \cdot 2a} \]

Definition

The Minor Axis of an Ellipse is the length of the longest chord which is perpendicular to the line joining the foci of the Ellipse. The Area of an Ellipse is the total quantity of plane enclosed by the boundary of the Ellipse. The Major Axis of an Ellipse is the length of the chord passing through both foci of the Ellipse.

Example Calculation

Let's assume the following values:

Using the formula:

\[ 2b = \frac{4 \times 190}{\pi \times 20} = 12.095775674984 \text{ Meter} \]

The Minor Axis of the Ellipse is 12.095775674984 Meter.

Conversion Chart

Area (Square Meter) Major Axis (Meter) Minor Axis (Meter)
180 20 11.459155902616464
182 20 11.586479857089980
184 20 11.713803811563498
186 20 11.841127766037014
188 20 11.968451720510529
190 20 12.095775674984045
192 20 12.223099629457563
194 20 12.350423583931079
196 20 12.477747538404595
198 20 12.605071492878110
200 20 12.732395447351628