Determine two pairs of polar coordinates for the point with $0 ^ { \circ } \leq \theta < 360 ^ { \circ }$
- $( - 3,0 )$

Question

Determine two pairs of polar coordinates for the point with $$0 ^ { \circ } \leq \theta < 360 ^ { \circ }$$
-$( - 3,0 )$
A) $\left( 3,180 ^ { \circ } \right) , \left( - 3,0 ^ { \circ } \right)$
B) $\left( 3,0 ^ { \circ } \right) , \left( - 3,180 ^ { \circ } \right)$
C) $\left( 3,270 ^ { \circ } \right) , \left( - 3,90 ^ { \circ } \right)$
D) $\left( 3,90 ^ { \circ } \right) , \left( - 3,270 ^ { \circ } \right)$

Quizplus · Accepted Answer

In polar coordinates, the point $(-3,0)$ corresponds to a radius of 3 units in the negative x-direction. The correct polar coordinates are $(3,180^\circ)$ because the point is 3 units away from the origin in the direction directly opposite the positive x-axis, and $(-3,0^\circ)$ because a negative radius can be used to indicate the direction opposite to the initial angle, here pointing towards the negative x-axis from the origin.

Determine Two Pairs of Polar Coordinates for the Point With 0