A point in rectangular coordinates is given.Convert the point to polar coordinates,r 0. $( - 2,0 )$
A)Polar coordinates: $( - 2,2 \pi )$
B)Polar coordinates: $( - 2 , \pi )$
C)Polar coordinates: $$( 2,2 \pi )$$
D)Polar coordinates: $$\left( 2 , \frac { \pi } { 2 } \right)$$
E)Polar coordinates: $( 2 , \pi )$

Question

A point in rectangular coordinates is given.Convert the point to polar coordinates,r > 0.​ $( - 2,0 )$ ​
A)​​Polar coordinates: $( - 2,2 \pi )$ ​
B)Polar coordinates: $( - 2 , \pi )$
C)Polar coordinates: $$( 2,2 \pi )$$
D)Polar coordinates: $$\left( 2 , \frac { \pi } { 2 } \right)$$
E)Polar coordinates: $( 2 , \pi )$

Quizplus · Accepted Answer

The polar coordinates of a point $(-2,0)$ are found by converting the Cartesian coordinates into polar form, where $r = \sqrt{x^2 + y^2}$ and $\theta$ is the angle with the positive x-axis. Here, $r = \sqrt{(-2)^2 + 0^2} = 2$ and $\theta = \pi$ because the point is on the negative x-axis.

A Point in Rectangular Coordinates Is Given (−2,0)( - 2,0 )(−2,0)

A Point in Rectangular Coordinates Is Given $( - 2,0 )$