Limacon Area Calculator

Calculate Limacon Area



Formula

The formula to calculate the Limacon Area (LA) is:

\[ LA = \pi \left( b^2 + \frac{1}{2} a^2 \right) \]

Where:

Limacon Area Definition

The Limacon Area is calculated using the values of \( a \) and \( b \) from the polar equation. It represents the area enclosed by the limacon curve, which is a type of polar curve.

Example Calculation

Let's consider an example:

Using the formula to calculate the Limacon Area:

\[ LA = \pi \left( 4^2 + \frac{1}{2} \times 3^2 \right) \approx 64.4 \, \text{square units} \]

This demonstrates that with \( a = 3 \) and \( b = 4 \), the Limacon Area would be approximately 64.4 square units.