The formula to calculate the Major Axis of an Ellipse given the Area and Minor Axis is:
\[ 2a = \frac{4A}{\pi \cdot 2b} \]
The Major Axis of an Ellipse is the length of the chord passing through both foci of the ellipse. The Area of an Ellipse is the total quantity of plane enclosed by the boundary of the ellipse. 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.
Let's assume the following values:
Using the formula:
\[ 2a = \frac{4 \cdot 190}{\pi \cdot 12} = 20.1596261249734 \]
The Major Axis of the Ellipse is 20.1596261249734 meters.
| Area (square meters) | Minor Axis (meters) | Major Axis (meters) |
|---|---|---|
| 180 | 12 | 19.098593171027442 |
| 185 | 12 | 19.629109648000426 |
| 190 | 12 | 20.159626124973411 |
| 195 | 12 | 20.690142601946395 |
| 200 | 12 | 21.220659078919379 |