Accurately calculate the area of an ellipse by entering the semi-major and semi-minor axes. Supports customizable units and decimal precision.
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When you need to accurately calculate the area of an ellipse, this tool outputs the result directly using the standard formula A = π × a × b, where 'a' represents the semi-major axis (the longest radius) and 'b' represents the semi-minor axis (the shortest radius).
Q: Must the semi-major axis be greater than the semi-minor axis?
A: Yes, by the definition of an ellipse, the semi-major axis is always greater than or equal to the semi-minor axis.
Q: What if the unit in the calculation result is incorrect?
A: Check the consistency of your input units to ensure both the semi-major and semi-minor axes use the same unit.
The semi-major and semi-minor axes must be positive real numbers. Units only affect the display and are not automatically converted. The number of decimal places must be an integer between 0 and 10. Floating-point arithmetic may cause a margin of error of ±0.0001.
For engineering calculations, it is recommended to keep 4 decimal places. For example, an ellipse with a semi-major axis of 8 cm and a semi-minor axis of 5 cm has an area of approximately 125.6637 cm². Note: This formula only applies to standard ellipses; irregular curves require integration methods to solve.
