SOLUTION: What is an equation that relates all the x- and y- coordinates of points that lie on ⊙M with a radius of 5, which is centered at the origin?

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Question 1183671: What is an equation that relates all the x- and y- coordinates of points that lie
on ⊙M with a radius of 5, which is centered at the origin?

Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!
What is an equation that relates all the x- and y- coordinates of points that
lie on ⊙M with a radius of 5, which is centered at the origin?



Let P(x,y) be an arbitrary point on circle M.  The right triangle with
legs x and y, hypotenuse 5, and vertex P(x,y) can be drawn anywhere on the
circle.  So the equation that holds for all points on the circle is the
Pythagorean theorem, using x and y for the legs and 5 for the hypotenuse.

x2 + y2 = 52

or

x2 + y2 = 25

Edwin