Surface Area of a Prolate Spheroid Calculator

Calculate Prolate Spheroid Surface Area

Please enter a positive value for 'a'.
Please enter a positive value for 'b'.
Quickly determine the surface area of a prolate spheroid with our user-friendly online calculator. Input the semi-major and semi-minor axes to get precise results instantly. Perfect for students, engineers, and scientists working with rotational ellipsoids, ensuring accuracy for your calculations.

Formula:

The formula for the surface area (A) of a prolate spheroid is:

A = 2πb2 + 2πab/e × sin-1(e)

Where:

  • a = semi-major axis (half the longest diameter)
  • b = semi-minor axis (half the shortest diameter)
  • e = eccentricity = √(1 - (b/a)2)
  • π ≈ 3.14159
  • sin-1(e) is the arcsine of the eccentricity in radians.

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