Ellipse Calculator is a free online tool that displays the graph of the ellipse. CoolGyan’S online ellipse calculator tool makes the calculation faster and it displays the ellipse graph in a fraction of seconds.

## How to Use the Ellipse Calculator?

The procedure to use the ellipse calculator is as follows:

**Step 1:** Enter the square value of a and b in the input field

**Step 2:** Now click the button “Submit” to get the graph of the ellipse

**Step 3:** Finally, the graph, foci, vertices, eccentricity of the ellipse will be displayed in the new window

### What is Meant by the Ellipse?

In mathematics, an ellipse is an oval-shaped figure. It is a generalized case of the closed conical section. Many may see it as a circle that has been squashed either vertically or horizontally. The equation of an ellipse is similar to the circle. A conic section called “ellipse” is formed when a cone is sliced for a particular angle.

The standard form of an ellipse is

[(x – c_{1})

^{2}/ a

^{2}] + [(y- c

_{2})

^{2}/ b

^{2}] = 1

Where

(x, y) – coordinate points on the ellipse

(c_{1}, c_{2}) – coordinates of the center of an ellipse

a – the horizontal distance between the center and one vertex

b – the vertical distance between the center and one vertex.

- If an ellipse is vertically elongated, then the value of b is greater than a. i.e., b > a
- If an ellipse is horizontally elongated, then the value of a is greater than b. i.e.,a > b