$\text { Find the polar coordinates, } 0 \leq \theta

Question

$\text { Find the polar coordinates, } 0 \leq \theta < 2 \pi \text { and } r \geq 0 \text {, of the point given in Cartesian coordinates. }$
-$\left( 0 , \frac { 1 } { 5 } \right)$
A) $\left( \frac { 1 } { 5 } , \frac { \pi } { 2 } \right)$
B) $\left( - \frac { 1 } { 5 } , 0 \right)$
C) $\left( \frac { 1 } { 5 } , \pi \right)$
D) $\left( \frac { 1 } { 5 } , 0 \right)$

Quizplus · Accepted Answer

The point lies on the positive y-axis and its distance from the origin is $\frac{1}{5}$. Therefore, the angle $	heta$ is $\frac{\pi}{2}$ (since we are in the second quadrant) and the radius $r$ is $\frac{1}{5}$. The polar coordinates are $\left(\frac{1}{5}, \frac{\pi}{2}ight)$. Choice A matches these coordinates.