How do you name the curve given by the conic r=6?

1 Answer
Shwetank Mauria
Dec 9, 2016

It is a circle with center at (0,0) and radius 6.

Explanation:

r=6 denotes locus of a point which moves so that it's distance from origin is always constant and at 6.

It is quite apparent that this is the equation of a circle with center at origin and radius6.

Further, relation between polar coordinates (r,theta) and Cartesian coordinates (x,y) is given by x=rcostheta and x=rsintheta i.e. r^2=x^2+y^2.

Hence, r=6 on squaring translates into x^2+y^2=36 and is equation of circle with center at (0,0) and radius is 6.

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