Enter the value of b from the polar equation and the value of a from the polar equation into the Limacon Area Calculator. The calculator will evaluate the Limacon Area.

## Limacon Area Formula

The following two example problems outline the steps and information needed to calculate the Limacon Area.

LA = pi*(b^2+1/2*a^2)
• 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

## How to Calculate Limacon Area?

The following example problems outline how to calculate Limacon Area.

Example Problem #1:

1. First, determine the value of b from the polar equation.
• The value of b from the polar equation is given as: 3.
2. Next, determine the value of a from the polar equation.
• The value of a from the polar equation is provided as: 4.
3. Finally, calculate the Limacon Area using the equation above:

LA = pi*(b^2+1/2*a^2)

The values provided above are inserted into the equation below and computed.

LA = pi*(3^2+1/2*4^2) = 53.407

Example Problem #2:

For this problem, the variables required are provided below:

value of b from the polar equation = 5

value of a from the polar equation = 6