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Question 992590: Find a formula that expresses the fact that P(x, y) is a distance 7 from the origin.
Describe the set of all such points.
This is a circle of radius
, with a center at
(x, y) =
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! x^2 + y^2 = 49
here's the graph of that equation.
the vertex form of the eqaution of a circle is:
(x-h)^2 + (y-k)^2 = r^2
r is the radius of the circle..
(h,k) is the (x,y) coordinate of the center of the circle.
in your circle, the center is (0,0) so h = 0 and k = 0
in your circle,
any point p(x,y) that lies on the circle, will be r units away from the center of the circle.
here's a reference that might help you understand that better.
https://www.mathsisfun.com/algebra/circle-equations.html
they use (a,b) as the center of the circle,
i use (h,k) as the center of the circle.
doesn't matter.
they reference the same thing.
a or h references the x-coordinate of the center of the circle.
b or k references the y-coordinate of the center of the circle.
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