Describe the graph of the polar equation.
-$$\mathrm { r } = 38 \sin \theta$$
A) Horizontal line passing through $( 0,38 )$
B) Circle with radius 19 and center $( 0,19 )$
C) Ellipse centered at the origin with intercepts $( \pm 1,0 )$ and $( 0 , \pm 19 )$
D) Parabola opening upward with vertex at $( 0,19 )$

Question

Quizplus · Accepted Answer

The polar equation $r=38\sin	heta$ can be rewritten as $r=19(2\sin	heta)$. This is the equation of a circle with radius $19$ and center at the origin, as $2\sin	heta$ will take on all values between $-2$ and $2$, inclusive, meaning that $r$ will take on all values between $-19(2)$ and $19(2)$, inclusive. Therefore, the correct answer is $\boxed{	extbf{(B)}}$.

Describe the Graph of the Polar Equation r=38sin⁡θ\mathrm { r } = 38 \sin \thetar=38sinθ

Describe the Graph of the Polar Equation $\mathrm { r } = 38 \sin \theta$