Ellipse Circumference Calculator

The ellipse circumference calculator helps you find the total perimeter around the ellipse, which is also referred to as the circumference of the ellipse. The ellipse circumference depends on the lengths of the semi-major and semi-minor axes. Read on to know more about how to find the circumference of an ellipse, and the formula to calculate it.

The circumference of the ellipse is the total length of the boundary of the elliptical shape. In other words, we also refer to the perimeter of the ellipse as its circumference.

To calculate the ellipse circumference, we need to know the semi-major and semi-minor axes' lengths. Once we get these, we'd find the ellipse circumference using the following formula:

where:
$a$ - Semi-major axis of the ellipse; and
$b$ - Semi-minor axis of the ellipse.

To find the value of $h$ in the above equation, we will use the following formula:

Thus, using the above equations for ellipse circumference, we can find its approximate value.

To find the ellipse circumference using our calculator, you need to do the following:

1. Enter the value of the semi-major axis (a).
2. Enter the value of the semi-minor axis (b).
3. Voila! The tool will perform all the heavy computing to calculate the ellipse circumference and will display it as the result!

If you found this tool useful, you may also want to check out our vast range of calculators related to ellipse:

• Ellipse calculator;
• Ellipse area calculator;
• Center of ellipse calculator;
• Ellipse perimeter calculator; and
• Foci of an ellipse calculator.

To find the circumference of an ellipse, we need to use the ellipse circumference equation, which is governed by the following steps:

1. Find the values of the semi-major axis (a) and the semi-minor axis (b).
2. Calculate the value of the variable h using the formula h = (a - b)²/(a + b)².
3. Plug in the values of a, b and h in the formula for the circumference, given by this equation:
   Circumference = π × (a + b)[1 + (3 × h/(10 + √(4 - 3h)))].
4. Tada! You now have the approximate value of the circumference of the ellipse!

Yes! We sometimes refer to the boundary of the ellipse as the circumference of the ellipse! Though the term circumference is usually associated with a circle, we also use it to refer to the ellipse's perimeter.