How this calculation works
Find the area enclosed by one complete cardioid.
THE FORMULA
A=3πa²/2 for r=a(1+cos θ)A worked example
For scale 2, the enclosed area is 6π.
Good to know
The expression uses r=a(1+cos θ).
Reference: OpenStax Calculus Volume 3 (opens in a new tab) ↗
Read the result
Find the area enclosed by one complete cardioid.
The primary result is labeled “Enclosed area”. Keep the input definitions in view when comparing this result with another method.
Try a related calculation
The expression uses r=a(1+cos θ).
For a related exercise, try the quadratic equation solver.
A few questions, answered
How can I check the default inputs by hand?
For scale 2, the enclosed area is 6π.
Which rule does this calculator apply?
A=3πa²/2 for r=a(1+cos θ)