Replace the Cartesian equation with an equivalent polar equation.
-$$x ^ { 2 } + y ^ { 2 } = 100$$
A) $r = 10 \sin \theta$
B) $r = 100$
C) $r = 10$ or $r = - 10$
D) $r = 10 \cos \theta$

Question

Quizplus · Accepted Answer

The given Cartesian equation $x^2 + y^2 = 100$ can be converted to polar form using the relationship $r^2 = x^2 + y^2$, which gives $r^2 = 100$. Taking the square root of both sides gives $r = 10$ or $r = -10$, since $r$ can be positive or negative in polar coordinates.

Replace the Cartesian Equation with an Equivalent Polar Equation x2+y2=100x ^ { 2 } + y ^ { 2 } = 100x2+y2=100

Replace the Cartesian Equation with an Equivalent Polar Equation $x ^ { 2 } + y ^ { 2 } = 100$