Ellipsoid Surface Area Calculator

Calculate the surface area of an ellipsoid with precision and ease!

An ellipsoid is a three-dimensional geometric shape resembling a stretched or compressed sphere, defined by three axes (a, b, c). This calculator helps you determine the surface area of an ellipsoid using Knud Thomsen's approximation formula, which provides accurate results for most practical purposes.

🔹 How to Use:

1. Enter the lengths of the three semi-axes (a, b, c).
2. Select your preferred units (meters, feet, inches, etc.).
3. Click "Calculate" to get the surface area in square meters.

📐 Formula Used:Surface Area≈4π((ab)p+(ac)p+(bc)p3)1/pSurface Area≈4π(3(ab)p+(ac)p+(bc)p​)1/p

where p≈1.6075p≈1.6075 for optimal approximation.

💡 Applications:

• Physics & Astronomy (modeling planets, celestial bodies)
• Engineering (designing tanks, domes, and lenses)
• Medicine (analyzing cell or organ shapes)
• Geodesy & GIS (Earth's geoid modeling)

Try it now and simplify your ellipsoid calculations!

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Why This Calculator?

✅ Supports multiple units (metric & imperial)
✅ Fast & accurate results
✅ Clear formula explanation
✅ Responsive design (works on any device)

Perfect for students, researchers, engineers, and anyone working with 3D geometry!