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Math & Statistics

Ellipse Perimeter Calculator

Estimate the perimeter of an ellipse using Ramanujan's approximation.

Your inputs

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Math & Statistics

Perimeter (Ramanujan approx.)

25.527

Area

47.1239

Eccentricity

0.8

Formula and working

P ≈ π[3(a+b) − √((3a+b)(a+3b))]

  1. 1

    Collect the inputs

    Semi-major axis a = 5; Semi-minor axis b = 3

  2. 2

    Apply the formula

    P ≈ π[3(a+b) − √((3a+b)(a+3b))]

  3. 3

    Result

    Perimeter (Ramanujan approx.) = 25.527

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Important limitation

This is an educational estimate based only on the values and formula shown. Verify current rates, rules, units, and professional standards before relying on the result. It is not personalized financial or investment advice.

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