Ellipse Calculator

Enter value and click on calculate. Result will be displayed.

Area = [ π×r1×r2 ]
Perimeter = [ 2×π×Sqrt((r1² + r2²)/2) ]

Select calculator :
 
Radius (r1) :
Radius (r2) :
Result:

Area of Ellipse :

An Ellipse Calculator is a tool used to calculate the key parameters of an ellipse, such as its area, perimeter, eccentricity, focal distance, and more. It can help in solving problems related to ellipses in geometry, physics, astronomy, and other fields.

What it does:

The calculator typically computes the following:

  • Area: The total space enclosed by the ellipse.
  • Perimeter: The total length around the ellipse (approximation or exact formulas).
  • Foci (Focal points): The two fixed points within the ellipse used to define its shape.
  • Eccentricity: A measure of how "elongated" the ellipse is.

Why use it:

Ellipses are common in many scientific and engineering applications, like planetary orbits, optical systems, or antenna design. An Ellipse Calculator helps simplify calculations that would otherwise require complex geometry or numerical methods.

How it works:

Most ellipse calculators require the input of:

  1. Major Axis (a): The longest diameter of the ellipse.
  2. Minor Axis (b): The shortest diameter. From these two inputs, the calculator uses mathematical formulas to calculate the other properties.

When to use it:

You would use an Ellipse Calculator when you are given or need to find the dimensions or properties of an ellipse in a problem, such as:

  • In astronomy to analyze planetary orbits.
  • In physics for optics or mechanics.
  • In geometry for solving related problems or drawing ellipses with specific properties.