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[Music] in Geometry it's helpful to come up with the equation that will describe a circle that's centered at some point H and K with a radius R well before we come up with this let's do a little backtrack how can I calculate the distance of R from point HK to XY well we said that our distance formula between any two points A and B is equal to the square root of the differences of the X's squared plus the differences of the Y's squar so let's apply that to this problem AB is actually the radius of this problem that's what we're trying to find so the radius is equal to the square root If I subtract my x's I see that I have X as this point and my center of my circle is at H so we're going to say this is x - h quantity squ now let's look at our y's our Y is y excuse me our Y 2 is y and I'm going to subtract K because K is the y-coordinate of the center of my circle and I'm going

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