# Foci of Ellipse Calculator

**Introduction**

Calculating the foci of an ellipse is a crucial task in geometry, often required in various mathematical and engineering applications. To simplify this process, we present a user-friendly Foci of Ellipse Calculator implemented in HTML and JavaScript. This tool allows users to input the necessary parameters and obtain accurate results effortlessly.

**How to Use**

To use the Foci of Ellipse Calculator, follow these simple steps:

- Input the values of semi-major axis (a) and semi-minor axis (b).
- Click the “Calculate” button.
- View the calculated foci of the ellipse.

**Formula**

The formula for calculating the foci of an ellipse is given by:

where:

*c*is the distance from the center to each focus,*a*is the length of the semi-major axis,*b*is the length of the semi-minor axis.

**Example**

Suppose we have an ellipse with a semi-major axis (*a*) of 5 units and a semi-minor axis (*b*) of 3 units. Applying the formula:

Thus, the foci of the ellipse are located 4 units away from the center along the major axis.

**FAQs**

**Q: Can I use decimals or fractions for the axes?**

**A:** Yes, the calculator supports decimal and fractional inputs for both the semi-major and semi-minor axes.

**Q: Is there any limit on the size of the ellipse I can calculate?**

**A:** The calculator can handle ellipses of various sizes, including very large or very small ones.

**Q: What if my ellipse is a circle ( a=b)?**

**A:** If the semi-major axis is equal to the semi-minor axis, the foci coincide with the center, resulting in a single point.

**Conclusion**

The Foci of Ellipse Calculator provides a convenient and efficient way to determine the foci of an ellipse. Whether you’re a student studying geometry or a professional dealing with geometric calculations, this tool streamlines the process, ensuring accurate results every time.