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).

Related questions
See all questions in Converting Equations from Polar to Rectangular
Impact of this question
9998 views around the world
You can reuse this answer
Creative Commons License