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Area of an Ellipse Calculator

Formula

The formula to calculate the area of an ellipse is:

$\text{A} = \pi \times a \times b$

Where:

$\text{A}$ is the area of the ellipse
$a$ is the length of the major axis
$b$ is the length of the minor axis

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:

Length of Major Axis ( $a$ ): 5 units
Length of Minor Axis ( $b$ ): 3 units

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:

Length of Major Axis ( $a$ ): 7 units
Length of Minor Axis ( $b$ ): 4 units

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.