# Find the polar coordinates of the point with rectangular coordinates (0,1) ?

##### 1 Answer
Sep 13, 2014

The polar coordinates of $\left(x , y\right) = \left(0 , 1\right)$ is
$\left(r , \theta\right) = \left(1 , \frac{\pi}{2}\right)$.

Since $r$ is the distance of the point from the origin,
$r = \sqrt{{0}^{2} + {1}^{2}}$

Since $\theta$ is the angle between the positive x-axis and the segment connecting the origin and the point,
$\theta = \frac{\pi}{2}$
(Note: $\left(0 , 1\right)$ is on the positive y-axis, which makes 90"^circ from the positive x-axis.)