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

Test your knowledge using the equation and check your answer with the calculator.

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