Find a polar equation that has the same graph as the equation in x and y. x^2 + y^2 = 2

Answer 1

x = r sin θ

y = r cos θ

x² + y² = 2

r² sin² θ + r² cos² θ = 2

r² = 2

Answer 2

x^2 + y^2 = 2 is a circle with radius = sqr2

in polar form that's r= sqr2 or about r = 1.414