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Alright so our final section on circles#39’re just going to briefly talk about the equation of a circle or not going Togo too in depth when you get to algebra two you#39’ll go more in depth into this way of conic sections and parabolas my purple eyes and how these all relate Mean their#39’s so many ways to come out this really all we#39’re going to go overs just how to use standard form of an equation to convert between either the information like you#39’re given the radius and the center, or you know you can find that somehow, and then you should be able to turn that into an equation or turn into a graph or visors have you given graph you should be able to find the center and the radius and be able to write that out, or you should be able to write the standard equation of it, so you should really kind of just interchangeably be comfortable with the equation the graph and the information and so here it is here#39’s to formulate#39’s simply saying if you have a center of H comma K, so it could be somethinglike you know negative to positive 5 and if you have a radius R for example that can be something like let#39’s go six then you come over here, and you plug it in Soyuz#39’ve got this X minus a number squared plus y minus the number squared equals Squared, so we just come in, and we say well the H value or the x value of center is negative 2 our Y value is 5 bothered#39’s my center negative 25 then the radius was six we plug that in and just simplifying it where you would get is you get x minus negative to those X plus2 squared plus y minus 5 squared will leave as is equals 36 and that#39’s the standard form of an equation with center nay you 25 and with radius 6 and that#39;really a kind of that you know one minute overview so let#39’s just do a bunch of practice problems with that so right the standard equation of the circle, so the center is at 0 0 you can see that right here and then the radius can just count over to the radius is 2so we get x minus 0 squared plus y minus0 squared equals 2 squared, and then we simplify that to be x squared plus squared equals 4 so that#39’s the equation the standard equation of a circle Kaylee#39’s do a couple more and at the end of this IN#39’ll talk about why is this true but really just getting into how first for those people who want to practice this so let#39’s find the center of this looks to be right here the center yeah 3 in from every side sowed#39’ve got a radius of 3 we got a center point of negative one comma negative one with radius is 3, so we get x minus negative one squared plus y minus negative one squared equals 3 squared in other words x plus 1 squared plus y plus2 oh sorry y plus 1 squared equals 9that would be our simplified version okay this one says right the standard equation if you#39’re given some information so X minus 0 squared plus minus 0 squared equals 7 squared simplifying that okay a different one minus negative 4 squared plus y minus 1squared equals 1 squared simplifying...
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