Perimeter of Ellipse Calculator

Enter the semi-major and semi-minor axes to calculate the perimeter (Ramanujan approximation).

Semi-Major Axis

Semi-Minor Axis

Perimeter of Ellipse Calculator

Are you looking for a fast and reliable way to calculate the perimeter of an ellipse? Our Perimeter of Ellipse Calculator is designed to give you accurate results instantly. Whether you’re a student solving math assignments, an architect working on curved layouts, a designer planning shapes, or an engineer calculating real-world measurements, this tool simplifies the process and saves you valuable time.

📏 Understanding the Ellipse

What is an Ellipse?
An ellipse is an oval-shaped curve where the sum of distances from any point on the curve to two fixed points (foci) is constant. It can be thought of as a “stretched circle.”

It is defined by two key radii:
• Semi-major axis (a): The longest radius of the ellipse.
• Semi-minor axis (b): The shortest radius of the ellipse.

Perimeter of an Ellipse: Unlike circles, the perimeter (circumference) of an ellipse cannot be expressed with a simple exact formula. Instead, we use approximations.

👉 Most common approximation (Ramanujan’s Formula):
P ≈ π [ 3(a+b) − √((3a+b)(a+3b)) ]
Where:
P = Perimeter of the ellipse
a = Semi-major axis
b = Semi-minor axis
This formula is widely used because it is both simple and very accurate for most cases.

⚖️ Formula to Calculate the Perimeter of an Ellipse

1. Identify the semi-major axis (a) and semi-minor axis (b).
2. Apply Ramanujan’s formula:
P ≈ π [ 3(a+b) − √((3a+b)(a+3b)) ]
This approximation is extremely precise and works for nearly all ellipse calculations.

📚 Examples of Perimeter Calculation

Example 1: a = 7 cm, b = 5 cm

P ≈ π[3(7+5) − √((3×7+5)(7+3×5))]
P ≈ 37.96 cm

✅ The perimeter is approximately 37.96 cm.

Example 2: a = 10 m, b = 6 m

P ≈ π[3(10+6) − √((3×10+6)(10+3×6))]
P ≈ 51.05 m

✅ The perimeter is approximately 51.05 m.

Example 3: a = 15 in, b = 10 in

P ≈ π[3(15+10) − √((3×15+10)(15+3×10))]
P ≈ 79.33 in

✅ The perimeter is approximately 79.33 inches.

Example 4: a = 8 ft, b = 3 ft

P ≈ π[3(8+3) − √((3×8+3)(8+3×3))]
P ≈ 36.37 ft

✅ The perimeter is approximately 36.37 feet.

✨ Features of Our Perimeter of Ellipse Calculator

✅ Uses Ramanujan’s accurate approximation

✅ Works with any units (cm, m, ft, inches, etc.)

✅ Provides instant and error-free results

✅ 100% free, no registration required

✅ Mobile-friendly and accessible anywhere

✅ Easy-to-use for both students and professionals

👩‍💼 Who Should Use This Calculator?

Students & Teachers – Solve ellipse geometry problems instantly

Architects & Engineers – Calculate curved layouts, domes, and designs

Construction Professionals – For flooring, fencing, or land measurements

Interior Designers – To design oval-shaped furniture, windows, or layouts

Landscapers & Surveyors – For oval gardens, fountains, and plots

Artists & Crafters – For creating accurate ellipse-based designs

💡 Why Use an Online Calculator Instead of Manual Calculation?

Calculating the perimeter of an ellipse manually involves complex formulas and square roots, which are tedious and error-prone.
Our Perimeter of Ellipse Calculator removes the difficulty by providing instant, precise, and reliable answers, saving you time and effort.

Practical Applications

Architecture & Construction – For elliptical arches, roofs, and structures

Urban Planning – Designing elliptical pathways, roundabouts, and plazas

Education – Making ellipse calculations simple and interactive

Interior Design – Creating elliptical furniture, mirrors, and floor plans

Crafts & Design – Building precise oval and ellipse-shaped models

✅ The Perimeter of Ellipse Calculator is an essential tool for anyone dealing with ellipses in geometry, design, construction, or landscaping. With instant calculations and guaranteed accuracy, it makes complex math easy and practical.

👉 Try our Perimeter of Ellipse Calculator today and simplify all your ellipse perimeter calculations with accuracy and convenience!