For the given rectangular equation, give its equivalent polar equation.
-$$x ^ { 2 } + y ^ { 2 } = 100$$
A) $r = 10$
B) $r = 10 \sin \theta$
C) $\mathrm { r } = 100$
D) $\mathrm { r } = 10 \cos \theta$

Question

Quizplus · Accepted Answer

The given equation $x^2 + y^2 = 100$ can be converted to polar form by recognizing that $x^2 + y^2 = r^2$ in polar coordinates. Therefore, $r^2 = 100$, which simplifies to $r = 10$ (considering $r \geq 0$ in polar coordinates).

For the Given Rectangular Equation, Give Its Equivalent Polar Equation x2+y2=100x ^ { 2 } + y ^ { 2 } = 100x2+y2=100

For the Given Rectangular Equation, Give Its Equivalent Polar Equation $x ^ { 2 } + y ^ { 2 } = 100$