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Ellipse Standard Form Calculator
Write the standard form equation of an ellipse from its centre and semi-axes.
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Standard form
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Write the standard form equation of an ellipse from its centre and semi-axes.
Ellipse Standard Form Estimator
Enter your numbers below for an instant estimate.
0
💡 Tip: (x-h)^2/a^2 + (y-k)^2/b^2 = 1.
How It Works
Key concepts behind this calculator
1
Enter Values
Fill in each field with your own numbers.
2
Calculate
Results update as you change the inputs.
3
Review
Read the breakdown and the explanation.
4
Adjust
Change values to compare scenarios.
Quick Reference Guide
Ellipse Quick Guide
Typical values for reference.
| h | k | a | Equation |
|---|---|---|---|
| 1 | -2 | 5 | (x – 1)^2/25.00 + (y + 2)^2/9.00 = 1 |
| 0 | 0 | 4 | (x – 0)^2/16.00 + (y – 0)^2/9.00 = 1 |
| 3 | 4 | 2 | (x – 3)^2/4.00 + (y – 4)^2/9.00 = 1 |
| -1 | 0 | 5 | (x + 1)^2/25.00 + (y – 0)^2/9.00 = 1 |
| Rule of Thumb | Check inputs | Use as a guide | Round sensibly |
Common Questions
Ellipse Standard Form Calculator FAQ
Answers to common questions about this calculator.
(x-h)^2/a^2 + (y-k)^2/b^2 = 1 with centre (h,k).
It lies along the variable with the larger denominator.
Points c from the centre along the major axis, where c squared is a squared minus b squared.
Yes, when a equals b.