00:01
So we'd like to see the relationship between the pythagorean theorem, which of course is a squared plus b squared equal c squared, the pythagorean distance formula, which is the square root of, well, i'm going to say x minus h.
00:17
It could be x1 minus x2 squared plus y minus k squared.
00:24
And again, that could be y1 minus y2.
00:26
I'm just going to write it that way.
00:27
And then, of course, our standard form of the equation of a circle, which is x minus h squared, plus y minus k squared equals our radius squared.
00:39
And i chose h and k here just to make it a little bit clearer.
00:42
So i just chose an example.
00:44
And if we look at an actual example where the center of my circle is 2 .1, my hk would be 2 .1.
00:52
And i chose a particular example where the radius of my circle happens to be the point x, y, and our radius is three.
01:05
So if i were to look at a situation like that, the equation of the circle itself would be x minus 2 squared, plus y minus 1 squared equals 3 squared, which is 9.
01:25
It as 3 squared.
01:27
Now, what i'd like to notice is that if i were to make a triangle right here, what i can see is that the length of this piece right here is going to be the difference in x coordinates...