Precisely determine the surface area of an oblate spheroid with our free online calculator. Simply input the equatorial radius (a) and polar semi-axis (c) to get accurate results, essential for tasks in geodesy, planetary science, and advanced engineering problems. Understand the geometry of flattened spheres easily.
Formula:
The surface area (S) of an oblate spheroid is calculated using the formula:
S = 2πa² + π(c²/e) ln((1+e)/(1-e))
Where:
- a is the equatorial radius (semi-major axis).
- c is the polar semi-axis (semi-minor axis).
- e is the eccentricity, calculated as e = √(1 - (c²/a²)).
- ln denotes the natural logarithm.
Note: For an oblate spheroid, the equatorial radius (a) must be greater than or equal to the polar semi-axis (c). If a=c, it's a sphere, and S = 4πa².