Area of an Ellipse Calculator
An ellipse is defined as a locus of all the points in a plane.
What is the Area of an Ellipse Calculator?
'Cuemath's Area of an Ellipse Calculator' is an online tool that helps to calculate the area of an ellipse. Cuemath's online Area of an Ellipse Calculator calculator helps you to calculate the area of an ellipse within a few seconds.
NOTE: Enter the values up to four digits only.
How to Use the Area of an Ellipse Calculator?
Please follow the steps below on how to use the calculator:
- Step 1: Enter the length of the semi-major axis and the semi-minor axis in the given input box.
- Step 2: Click on the "Calculate" button to find the area of an ellipse.
- Step 3: Click on the "Reset" button to clear the fields and enter the new values.
How to Find the Area of an Ellipse?
The area of an ellipse is defined as the amount of space enclosed within the boundary of an ellipse. It is measured in square units. The formula to calculate the area of an ellipse is given by
Area of an ellipse = π a b square units
Where 'a' is the length of the semi-major axis and 'b' is the length of the semi-minor axis.
Solved Example:
Find the area of an ellipse whose length of the semi-major axis is 5 units and the length of the semi-minor axis is 9 units
Solution:
Given: Semi-major axis(a) = 5 units and semi-minor axis(b) = 9 units
= π a b
= 3.14 × 5 × 9
= 141.37 square units
Therefore, the area of an ellipse is 141.37 square units.
Similarly, you can try the calculator to find the area of an ellipse for the following:
- Length of the semi-major axis(a) = 7 units and semi-minor axis(b) = 9 units
- Length of the semi-major axis(a) = 11 units and semi-minor axis(b) = 14 units