Find an equivalent equation in rectangular coordinates.
-$r = 10 \sin \theta$
A) $\sqrt { x ^ { 2 } + y ^ { 2 } } = 10 y$
B) $x ^ { 2 } + y ^ { 2 } = 10 x$
C) $\sqrt { x ^ { 2 } + y ^ { 2 } } = 10 x$
D) $x ^ { 2 } + y ^ { 2 } = 10 y$

Question

Quizplus · Accepted Answer

The polar equation $r = 10 \sin \theta$ can be converted to rectangular coordinates using $r = \sqrt{x^2 + y^2}$ and $y = r \sin \theta$, resulting in $x^2 + y^2 = 10y$.

Find an Equivalent Equation in Rectangular Coordinates r=10sin⁡θr = 10 \sin \thetar=10sinθ

Find an Equivalent Equation in Rectangular Coordinates $r = 10 \sin \theta$