How do you find the polar coordinates of the point $(-2,0)$ ?

Question

8130 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2014-09-11T11:07:32

The polar coordinates of $(x,y)=(-2,0)$ is $(r,theta)=(2,pi)$ .

Since the distance of the point from the origin is $sqrt{(-2)^2+(0)^2}=2$ ,
so $r=2$ .

Since the line segment (vector) from the origin to (-2,0) and
the positive x-axis makes $180^circ$ , whcih is $pi$ radians; therefore, $theta=pi$ .

How do you find the polar coordinates of the point (-2,0)(-2,0) ?