document.write( "Question 222182: write the equation of the circle in radius-center form with the center at (2,1) and tangent to the line x=5. \n" ); document.write( "
Algebra.Com's Answer #166485 by Edwin McCravy(20060)\"\" \"About 
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write the equation of the circle in radius-center form with the center at (2,1) and tangent to the line x=5.
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document.write( "The equation of a circle in radius-center form 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( "where the center is the point \"%22%28h%2Ck%29%22\" and\r\n" );
document.write( "the radius is \"r\".\r\n" );
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document.write( "So the equation, all but r, is:\r\n" );
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document.write( "\"%28x-2%29%5E2%2B%28y-1%29%5E2=r%5E2\"\r\n" );
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document.write( "So to find the radius \"r\" let's plot the center\r\n" );
document.write( "\"%22%282%2C1%29%22\"\r\n" );
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document.write( "Now let's draw the line \"x=5\", which is a vertical\r\n" );
document.write( "line through 5 on the x-axis:\r\n" );
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document.write( "Now let's sketch in a circle tangent to that line:\r\n" );
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document.write( "Draw a radius from the center (2,1) over to the line.\r\n" );
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document.write( "Using the x-axis as a measuring stick, you can see that\r\n" );
document.write( "that radius is 3 units long, so\r\n" );
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document.write( "\"r=3\"\r\n" );
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document.write( "and the final answer is\r\n" );
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document.write( "\"%28x-2%29%5E2%2B%28y-1%29%5E2=3%5E2\"  or\r\n" );
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document.write( "\"%28x-2%29%5E2%2B%28y-1%29%5E2=9\"\r\n" );
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document.write( "Edwin
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