Ellipse Area Calculator

(length of semi-minor axis)


units

(length of semi-major axis)


units

square units
View Calculation
Ellipse Area

How to use this Ellipse Area Calculator 🤔

  1. Enter ✎ value for length of semi-minor axis (a).
  2. Enter ✎ value for length of semi-major axis (b).
  3. As soon as you enter the required input value(s), the Ellipse Area is calculated immediately, and displaed in the output section (present under input section).

Formula

To calculate the ellipse area, you can use the following formula.

\(A = \) \( π a b \)

where

Ellipse Area

Calculation

Once you enter the input values in the calculator, the output parameters are calculated.

Examples

The following examples cover how to calcualte the Area when length of semi-minor axis, and length of semi-major axis are given.

1. What is the Area of Ellipse whose length of semi-minor axis is 10 units, and length of semi-major axis is 20 units?

Answer

Given:

  • length of semi-minor axis, a = 10 units
  • length of semi-major axis, b = 20 units

The formula to find the Area of a Ellipse is:

A = \( π a b \)

Substitute given values in the above formula.

A = \( π \times10\times20\)

A = 628.32 square units

∴ Area, A = 628.32 square units

2. What is the Area of Ellipse whose length of semi-minor axis is 1 units, and length of semi-major axis is 0.5 units?

Answer

Given:

  • length of semi-minor axis, a = 1 units
  • length of semi-major axis, b = 0.5 units

The formula to find the Area of a Ellipse is:

A = \( π a b \)

Substitute given values in the above formula.

A = \( π \times1\times0.5\)

A = 1.57 square units

∴ Area, A = 1.57 square units