Free Ellipse Calculator
Area and approximate perimeter of an ellipse.
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Inputs
Result
Area
56.549
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Short answer
Area and approximate perimeter of an ellipse.
What is the Ellipse Calculator?
Area and approximate perimeter of an ellipse.
How does the Ellipse Calculator work?
Enter the inputs above and read the result.
Formula
Variables
a,bSemi-major and semi-minor axes
Explanation
Ramanujan's second approximation gives perimeter accurate to a fraction of a percent.
Examples
Applications
Advantages
Limitations
Common mistakes
Tips
Related concepts
The Ellipse Calculator sits inside the Math Calculators hub, in the geometry & shapes cluster. Length, area, volume and angle in two and three dimensions. Understanding the terms below makes the output easier to interpret and easier to compare against neighbouring measures.
Practical use cases and industry applications
Understanding Ellipse
Area and approximate perimeter of an ellipse. Within math calculators, ellipse belongs to the geometry & shapes cluster, where it shares terminology and assumptions with closely related tools.
Learning how ellipse is calculated
Ramanujan's second approximation gives perimeter accurate to a fraction of a percent. Working through the variables one at a time — a,b — makes the result reproducible by hand and easier to sanity-check.
Using ellipse to make a decision
Because outputs depend on the assumptions you enter, run more than one scenario before committing to a figure.
How ellipse compares with related measures
area, perimeter, volume, surface area all describe adjacent aspects of geometry & shapes. Comparing this calculator's output against those measures — using the related tools listed on this page — prevents a single metric from being read in isolation.
Frequently asked questions
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