The rectangular coordinates of a point are given. Express the point in polar coordinates with $r \geq 0 \text { and } 0 ^ { \circ } \leq \theta < 360 ^ { \circ } \text {. }$
- $( 0 , - 4 )$

Question

The rectangular coordinates of a point are given. Express the point in polar coordinates with $$r \geq 0 \text { and } 0 ^ { \circ } \leq \theta < 360 ^ { \circ } \text {. }$$
-$$( 0 , - 4 )$$
A) $\left( 4,270 ^ { \circ } \right)$
B) $\left( 4,180 ^ { \circ } \right)$
C) $\left( 4,0 ^ { \circ } \right)$
D) $\left( 4,90 ^ { \circ } \right)$

Quizplus · Accepted Answer

The point (0, -4) in rectangular coordinates corresponds to a point 4 units below the origin on the y-axis. In polar coordinates, this is represented as $r = 4$ (distance from the origin) and $\theta = 270^\circ$ (angle in standard position, measured counterclockwise from the positive x-axis).

The Rectangular Coordinates of a Point Are Given r≥0 and 0∘≤θ<360∘. r \geq 0 \text { and } 0 ^ { \circ } \leq \theta < 360 ^ { \circ } \text {. }r≥0 and 0∘≤θ<360∘.

The Rectangular Coordinates of a Point Are Given $r \geq 0 \text { and } 0 ^ { \circ } \leq \theta < 360 ^ { \circ } \text {. }$