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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