Perimeter of an Ellipse Calculator is a free online tool that displays the value of perimeter of ellipse for the given radii. CoolGyan’S online perimeter of an ellipse calculator tool makes the calculation faster, and it displays the perimeter for the given vertical and horizontal radius in a fraction of seconds.

## How to Use the Perimeter of an Ellipse Calculator?

The procedure to use the perimeter of an ellipse calculator is as follows:

**Step 1:** Enter the vertical and horizontal radius in the respective input field

**Step 2:** Now click the button “Calculate” to get the ellipse perimeter

**Step 3:** Finally, the value of perimeter of the ellipse will be displayed in the output field

### What is Meant by Perimeter of an Ellipse?

In conic sections, an ellipse is one of the important curves that surround two focal points and with two radii, namely the semi-major axis and semi-minor axis. The perimeter of an ellipse is defined as the distance around the boundary of an ellipse. The longest chord of the ellipse is called the major axis, and the chord which perpendicular to it and bisects the major axis is called the minor axis. The perimeter of an ellipse formula is given as:

Perimeter of an ellipse \(=2\pi\sqrt{\frac{r_1^2+r_2^2}{2}}\)

Here,

r_{1} and r_{2} represent the radii (i.e. vertical and horizontal axis)