document.write( "Question 918544: (4,5), (2,3), (6,3),(4,1) type the equation in center radius form also type the equation in general form \n" ); document.write( "
Algebra.Com's Answer #557095 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
First plot the 4 points on graph paper:\r\n" );
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document.write( "By looking at the graph we can easily see that a circle can be drawn\r\n" );
document.write( "through those 4 points and the center will be (h,k) = (4,3) and\r\n" );
document.write( "the radius will be r=2.  Like this:\r\n" );
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document.write( "First we get the  center-radius form, which is\r\n" );
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document.write( "\"%28x-h%29%5E2%2B%28y-k%29%5E2=r%5E2\"\r\n" );
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document.write( "Substituting (h,k) = (4,3) and r=2\r\n" );
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document.write( "\"%28x-4%29%5E2%2B%28y-3%29%5E2=2%5E2\"\r\n" );
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document.write( "\"%28x-4%29%5E2%2B%28y-3%29%5E2=4\"\r\n" );
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document.write( "That's the center-radius form.\r\n" );
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document.write( "To get the general form which is\r\n" );
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document.write( "\"x%5E2%2By%5E2%2BDx%2BEy%2BF=0\"\r\n" );
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document.write( "We start with the center-radius form which we just found,\r\n" );
document.write( "remove the parentheses by squaring the binomials, collect \r\n" );
document.write( "like terms, get 0 on the right, and arrange in the \r\n" );
document.write( "general form:\r\n" );
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document.write( "\"%28x-4%29%5E2%2B%28y-3%29%5E2=4\"\r\n" );
document.write( "\"%28x-4%29%28x-4%29%2B%28y-3%29%28y-3%29=4\"\r\n" );
document.write( "\"x%5E2-4x-4x%2B16%2By%5E2-3y-3y%2B9=4\"\r\n" );
document.write( "\"x%5E2-8x%2B25%2By%5E2-6y=4\"\r\n" );
document.write( "\"x%5E2%2By%5E2-8x-6y%2B25=4\"\r\n" );
document.write( "\"x%5E2%2By%5E2-8x-6y%2B21=0\"\r\n" );
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document.write( "If you know some short-cuts you can skip some of those steps.\r\n" );
document.write( "But be careful.\r\n" );
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document.write( "Edwin

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