Question #47750

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Answer 1 · 2016-12-09T07:25:44

The polar equation is #r=2#

To convert from rectangular coordinates #(x,y)# to polar coordinates #(r,theta)#, we use the following equations

#x=rcostheta#

#y=rsintheta#

The equation is

#x^2+y^2=4#

#r^2cos^2theta+r^2sin^2theta=4#

#r^2(cos^2theta+sin^2theta)=4#

As, #cos^2theta+sin^2theta=1#

The equation becomes

#r^2=4#

#r=2#

We take only the positive value.