How do you convert the Cartesian coordinates (20,3) to polar coordinates?

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Answer 1 · 2015-12-06T20:06:28

#sqrt409 /_8,53^@#

Any point #(x,y)# in rectangular form may be converted into polar form #(r, theta)# as follows

#r=sqrt(x^2+y^2)#

#theta=tan^(-1)(y/x)#

Where #theta# is always measured anti-clockwise from the positive x-axis.

So in this case, #r=sqrt(20^2+3^2)=sqrt409#

#theta=tan^(-1)(3/20)=8,53^@#