Math

Ellipse Calculator

Area and approximate perimeter of an ellipse.

Calculated Output

Area 47.124

Perimeter (approx.) 25.527

Formula: area = π a b ; perimeter ≈ Ramanujan approx.

Step-by-Step Breakdown

1. Values used:

2. Semi-major axis = 5

3. Semi-minor axis = 3

5. Area = 47.124

6. Perimeter (approx.) = 25.527

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The math behind it

area = π × a × b. Perimeter has no simple exact formula; this uses Ramanujan's accurate approximation.

a 5, b 3 → area 47.1.

Circle?

An ellipse with a = b is a circle (area πr²).