document.write( "Question 118863: Find the center and radiu of the circle and sketch its graph.
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Algebra.Com's Answer #86970 by Edwin McCravy(20056)![]() ![]() You can put this solution on YOUR website! Find the center and radiu of the circle and sketch its graph. \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "You have to learn the standard equation \r\n" ); document.write( "for a circle.\r\n" ); document.write( "\r\n" ); document.write( "That is, you must memorize that\r\n" ); document.write( "\r\n" ); document.write( "(x - h)² + (y - k)² = r²\r\n" ); document.write( "\r\n" ); document.write( "is the equation of a circle with \r\n" ); document.write( "center (h,k) and radius r.\r\n" ); document.write( "\r\n" ); document.write( "You have to make your equation\r\n" ); document.write( "\r\n" ); document.write( "x² + y² = 25\r\n" ); document.write( "\r\n" ); document.write( "look like this:\r\n" ); document.write( "\r\n" ); document.write( "(x - h)² + (y - k)² = r²\r\n" ); document.write( "\r\n" ); document.write( "So\r\n" ); document.write( "1. write the x as (x - 0)\r\n" ); document.write( "2. Write the y as (y - 0)\r\n" ); document.write( "3. Write the 25 as 5².\r\n" ); document.write( "\r\n" ); document.write( "Then \r\n" ); document.write( "\r\n" ); document.write( "x² + y² = 25\r\n" ); document.write( "\r\n" ); document.write( "becomes\r\n" ); document.write( "\r\n" ); document.write( "(x - 0)² + (y - 0)² = 5²\r\n" ); document.write( "\r\n" ); document.write( "So compare that to the standard\r\n" ); document.write( "equation for a circle.\r\n" ); document.write( "\r\n" ); document.write( "(x - h)² + (y - k)² = r²\r\n" ); document.write( "\r\n" ); document.write( "and you can see that\r\n" ); document.write( "\r\n" ); document.write( "h = 0, k = 0, and r = 5.\r\n" ); document.write( "\r\n" ); document.write( "So put the sharp point of a compass\r\n" ); document.write( "at the center, which is (h,k) = (0,0),\r\n" ); document.write( "or the origin, open the compass to 5\r\n" ); document.write( "units, and draw the circle:\r\n" ); document.write( "\r\n" ); document.write( "\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |