document.write( "Question 236330: If a radius of a certain circle is tripled, with 8.2 centimeters then added,
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document.write( "the result is the circumference of the circle. Find the radius of the circle.
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Algebra.Com's Answer #173986 by Theo(13342)![]() ![]() You can put this solution on YOUR website! r = radius of the circle.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "circumference of the circle = 2*pi*r\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "3*r + 8.2 = 2*pi*r\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "solve for r.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "subtract 2*pi*r from both sides of the equation and subtract 8.2 from both sides of the equation to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "3*r - 2*pi*r = -8.2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "factor out the r to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "r * (3-2*pi) = -8.2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "divide both sides of the equation by (3-2*pi) to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "r = -8.2 / (3-2*pi)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "simplify to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "r = 2.49757453\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "3*r + 8.2 = 156.9272359\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2*pi*r = 156.9272359\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Since they are the same, the answer is confirmed.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the answer is:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "r = 2.49757453 centimeters.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |