Things You'll Need
Instructions
Familiarize yourself with the equations for a circle. The area equation of a circle is given by "Area = pi * radius^2," where the symbols "^2" means find the square of the number. The circumference of a circle is given by "Circumference = 2 * pi * radius."
Find the radius of a circle with the same circumference of a spiral loop. This requires the circumference equation. When you solve for the radius in this equation, you divide both sides of the equation by "2 * pi," in order to isolate the radius on one side of the equals sign. Suppose you have a circumference equal to "2 * pi." Dividing both sides yields a radius of 1.
Find the area of a circle with the same circumference as the spiral. This requires the area equation. Continuing with the example above, the area of a circle with a radius of 1 is equal to "pi," or roughly 3.14. This means the integral of a spiral around a fixed circumference of "2 * pi" is roughly equal to 3.14.