SOLUTION: What is the symmetries if any, of the equation x^2 + y^2=36

Algebra ->  Coordinate-system -> SOLUTION: What is the symmetries if any, of the equation x^2 + y^2=36      Log On


   



Question 104562: What is the symmetries if any, of the equation x^2 + y^2=36
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The equation describes a circle center at (0,0) with a radius of 6.
Any line that goes through the origin is a line of symmetry for this circle, that is, there are an infinite number of symmetric lines for this circle.
Examples are the x axis, the y axis, and the line shown below, y=1/2x.