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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