# Ellipse Foci Calculator

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## What is Ellipse Foci Calculator?

The Ellipse Foci Calculator is an online tool that calculates the foci of an ellipse based on the distance from the center to the vertex and the distance from the center to the co-vertex. This calculator is helpful for anyone who needs to calculate the foci of an ellipse, such as mathematicians, engineers, and students.

## Formula

The formula for calculating the foci of an ellipse is as follows:

**f = sqrt(a^2 – b^2)**

where `f`

is the distance from the center to the foci, `a`

is the distance from the center to the vertex, and `b`

is the distance from the center to the co-vertex.

## Example

Suppose we have an ellipse with a distance of 5 units from the center to the vertex and a distance of 3 units from the center to the co-vertex. To calculate the foci, we use the formula:

f = sqrt(5^2 – 3^2) = sqrt(16) = 4

Therefore, the distance from the center to each foci is 4 units.

## How to Calculate

To use the Ellipse Foci Calculator, you need to input the distance from the center to the vertex and the distance from the center to the co-vertex. Then, click the “Calculate” button to get the distance from the center to each foci. The calculator uses the formula ** f = sqrt(a^2 - b^2)** to perform the calculation.

## FAQs

**What is an ellipse?**

An ellipse is a closed curve that resembles a flattened circle. It is defined by two points called foci and a line segment called the major axis.

**What is the significance of the foci of an ellipse?**

The foci of an ellipse play an important role in understanding the shape and properties of the ellipse. They are equidistant from the center and help determine the length of the major and minor axes.

**Can I use the Ellipse Foci Calculator for any ellipse?**

Yes, the Ellipse Foci Calculator can be used for any ellipse, regardless of its size or orientation. You only need to input the distance from the center to the vertex and the distance from the center to the co-vertex.