What is the major axis of an ellipse with a minor axis of 5.0 meters and an area of 30.2 square meters? Round the answer to 1 decimal place.
The formula for the area of an ellipse is given by:
Area = π * (major axis/2) * (minor axis/2)
We can rearrange this formula to solve for the major axis:
major axis = (2 * Area) / (π * minor axis)
Substituting the given values:
major axis = (2 * 30.2) / (π * 5.0)
major axis ≈ 3.83 meters
Rounding to 1 decimal place, the major axis of the ellipse is approximately 3.8 meters.