How do you graph $r= 4cosθ$ ?

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Answer 1 · 2016-03-29T23:20:14

the graph of $r=4 cos theta$ is a Circle

You can also try converting $r=4 cos theta$ to rectangular coordinates system

$r=4 cos theta$

$sqrt(x^2+y^2)=4* x/sqrt(x^2+y^2)$

$x^2+y^2-4x=0$

$x^2+y^2-4x+4=4$

$(x-0)^2+(y-2)^2=4$

$(x-0)^2+(y-2)^2=2^2" "$ a circle with radius of $r=2$ and center at $(0, 2)$

Kindly see the graph

![www.desmos.com]( useruploads.socratic.org )

God bless....I hope the explanation is useful.

How do you graph r= 4cosθr= 4cosθ?