How do you graph #r=6#?

1 Answer
Shwetank Mauria
Jul 23, 2016

The graph is a circle with center at origin and radius #6#.

Explanation:

As #r# in polar coordinates denotes the distance of a point from center, the equation #r=6# denotes all those points who are at a distance of six units from center.

As is apparent, the graph is a circle with center at origin and radius #6#.

Further relation between polar coordinates #(r,theta)# and rectangular coordinates #(x,y)# are given by #x=rcosthata# and #y=rsintheta# and hence #r=sqrt(x^2+y^2)#

Hence #r=6#

#hArrr^2=36# or #x^2+y^2=36#, which is again the equation of a circle with center at #(0,0)# and radius #6#

graph{x^2+y^2=36 [-13, 13, -6.5, 6.5]}

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