Area of an Ellipse Calculator





Formula

The formula to calculate the area of an ellipse is:

\[ \text{A} = \pi \times a \times b \]

Where:

What is an Ellipse?

An ellipse is a curve on a plane surrounding two focal points such that the sum of the distances to the two focal points is constant for every point on the curve. In simpler terms, it is a shape that resembles a flattened circle. Ellipses are important in physics, astronomy, and engineering, and understanding their properties, such as area, is crucial in these fields.

Example Calculation 1

Let's assume the following values:

Step 1: Multiply the length of the major axis by the length of the minor axis:

\[ 5 \times 3 = 15 \]

Step 2: Multiply the result by \( \pi \):

\[ 15 \times \pi \approx 47.12 \]

Therefore, the area of the ellipse is approximately 47.12 square units.

Example Calculation 2

Let's assume the following values:

Step 1: Multiply the length of the major axis by the length of the minor axis:

\[ 7 \times 4 = 28 \]

Step 2: Multiply the result by \( \pi \):

\[ 28 \times \pi \approx 87.96 \]

Therefore, the area of the ellipse is approximately 87.96 square units.