The rectangular coordinates of a point are given. Express the point in polar coordinates with r ≥ 0 and 0° ≤ θ < 360°.
- $( 0 , \sqrt { 7 } )$

Question

The rectangular coordinates of a point are given. Express the point in polar coordinates with r ≥ 0 and 0° ≤ θ < 360°.
-$( 0 , \sqrt { 7 } )$
A) $\left( 7,90 ^ { \circ } \right)$
B) $\left( \sqrt { 7 } , 270 ^ { \circ } \right)$
C) $\left( 7,270 ^ { \circ } \right)$
D) $\left( \sqrt { 7 } , 90 ^ { \circ } \right)$

Quizplus · Accepted Answer

The polar coordinates of a point are given by $(r, \theta)$, where $r$ is the distance from the origin to the point and $\theta$ is the angle formed with the positive x-axis. For the point $(0, \sqrt{7})$, $r = \sqrt{0^2 + (\sqrt{7})^2} = \sqrt{7}$, and the point lies on the positive y-axis, making $\theta = 90^\circ$.

The Rectangular Coordinates of a Point Are Given (0,7)( 0 , \sqrt { 7 } )(0,7​)

The Rectangular Coordinates of a Point Are Given $( 0 , \sqrt { 7 } )$