Question

Prove or disprove that the point (1, 3) lies on the circle centered at the origin
and passing through the point (0, 2).

Answer 1

Do you know how to write the equation of a circle?

Answer 2

no not at all

Answer 3

Ok, well I'm gonna whip out the handy-dandy drawing tool if you don't mind

Answer 4

no, actuyally thats great go ahead

Answer 5

*actually

Answer 6

You're familiar with the radius of a circle correct? It's the length from the center of the circle to any edge of the circle, it'll always be the same length.

Anyways when we have a circle as a graph (in this case the question it look's like this)

(h,k) is the center of the circle when you graph it like this and it doesn't have to always be right there and the r is the length of the radius it could be 3 units or 5 units or 3.555 units it doesn't matter



This is another picture showing a circle that's not at the origin but still has a center nevertheless and a radius like all circles do