document.write( "Question 1177833: A landscape architect is planning a circular flower
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document.write( "bed that will be surrounded by a ring of paving
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document.write( "stones, 25 cm wide. The area of the ring of paving
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document.write( "stones will be half the area of the flower bed.
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document.write( "Determine the radius of the flower bed, to the
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document.write( "nearest centimetre. \n" );
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Algebra.Com's Answer #853723 by ikleyn(53560) You can put this solution on YOUR website! . \n" ); document.write( "A landscape architect is planning a circular flower bed that will be surrounded by a ring of paving \n" ); document.write( "stones, 25 cm wide. The area of the ring of paving stones will be half the area of the flower bed. \n" ); document.write( "Determine the radius of the flower bed, to the nearest centimetre. \n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " The solution by @mananth is incorrect due to arithmetic errors on the way.\r \n" ); document.write( "\n" ); document.write( " I came to bring a correct solution.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "pi*(r+25)^2 - pi*r^2 = (1/2)*pi*r^2\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Cancel pi in both sides\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "(r+25)^2 - r^2 = (1/2)*r^2\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "r^2 + 50r + 625 - r^2 = (1/2)*r^2\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "50r + 625 = (1/2)r^2\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "r^2 - 100r - 1250 = 0\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Use the quadratic formula and find r =\r \n" ); document.write( "\n" ); document.write( "Solved.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |