Processing math: 100%

Limacon Area Calculator

Formula

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

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

Where:

$LA$ is the Limacon Area
$b$ is the value of b from the polar equation
$a$ is the value of a from the polar equation

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:

Value of a from the Polar Equation (a): 3
Value of b from the Polar Equation (b): 4

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.