How do you convert #(4, 0)# into polar form?

1 Answer
Jack
Sep 29, 2016

(4,0) in rectangular coordinates = (4,0) in polar coordinates.

Explanation:

In rectangular coordinates, (x,y) represents the x and y position of the point in the plane.
In polar coordinates, it is represented by (r, #theta#), where r is the distance from the origin and #theta# is the counterclockwise angle in radians.
The conversion from rectangular to polar can be achieved by the formulas:
#r^2 = x^2+y^2#
#theta = arctan(y/x)#

In our case, #r^2 = 4^2 + 0# #=>r=4#
And #arctan(0/4) = 0 => theta = 0#

So, our polar coordinates are (4,0).

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