The formula to calculate the Limacon Area (LA) is:
\[ LA = \pi \left( b^2 + \frac{1}{2} a^2 \right) \]
Where:
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.
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.
