Convert the rectangular equation to a polar equation.

Question

What is the polar equation of x^2 + y^2 = 1

Answer 1

Given x^2 + y^2 = 1

In polar form

x = r*Cos(theta)

y = r*Sin(theta)

So

r^2 * Cos(theta)^2 + r^2 * Sin(theta)^2 = 1

But, since Cos()^2 + Sin()^2 = 1 we end up with

r^2 = 1

(Equation of a circle with radius = 1)