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How do you find the polar coordinates of #(-4,0)# ?

1 Answer

Sep 20, 2014

The rectangular coordinates #(x,y)=(-4,0)# is equivalent to the polar coordinates #(r,theta)=(4,pi)#

Let us look at some details.

Since #r# is the distance of #(-4,0)# from the origin,

#r=sqrt{(-4)^2+0^2}=4#

Since the segment from the origin to #(-4,0)# makes #180^circ=pi# rad with the positive x-axis,

#theta=pi#

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