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

Cardioid Area Formula

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

CRA = 6*pi*a^2
  • Where CRA is the Cardioid Area
  • a is the value of a from the polar equation 

To calculate a cardioid area, multiply the a value squared by 6 times pi.

How to Calculate Cardioid Area?

The following example problems outline how to calculate Cardioid Area.

Example Problem #1:

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

CRA = 6*pi*a^2

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

CRA = 6*pi*3^2 = 169.6

Example Problem #2: 

For this problem, the variables required are provided below:

value of a from the polar equation = 6

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

CRA = 6*pi*a^2 = ?