document.write( "Question 1138091: The area of a circle is given by the expression π(16x^2 - 40x + 25).
\n" ); document.write( "a) What is the diameter of the circle?
\n" ); document.write( "b) What is its circumference?
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Algebra.Com's Answer #755983 by MathLover1(20850)\"\" \"About 
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\n" ); document.write( "The area of a circle is given by the expression \r
\n" ); document.write( "\n" ); document.write( "\"A=pi%2816x%5E2+-+40x+%2B+25%29\"
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\n" ); document.write( "\n" ); document.write( "a) What is the diameter of the circle?\r
\n" ); document.write( "\n" ); document.write( "\"A=pi%2816x%5E2+-+40x+%2B+25%29\"..........since the area of a circle is \"A=pi%2Ar%5E2\"
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\n" ); document.write( "=>\"pi%2Ar%5E2=pi%2816x%5E2+-+40x+%2B+25%29\"...simplify\r
\n" ); document.write( "\n" ); document.write( "\"r%5E2=16x%5E2+-+40x+%2B+25\"...factor completely\r
\n" ); document.write( "\n" ); document.write( "\"r%5E2=16x%5E2+-+20x-20x+%2B+25\"\r
\n" ); document.write( "\n" ); document.write( "\"r%5E2=%2816x%5E2+-+20x%29-%2820x+-+25%29\"\r
\n" ); document.write( "\n" ); document.write( "\"r%5E2=4x%284x+-+5%29-5%284x+-+5%29\"\r
\n" ); document.write( "\n" ); document.write( "\"r%5E2=%284x-5%29%284x+-+5%29\"\r
\n" ); document.write( "\n" ); document.write( "\"r%5E2=%284x+-+5%29%5E2\"\r
\n" ); document.write( "\n" ); document.write( "\"r=4x+-+5\"\r
\n" ); document.write( "\n" ); document.write( "then, the diameter of the circle is \"d=2%284x+-+5%29\"=>\"d=8x+-+10\"\r
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\n" ); document.write( "\n" ); document.write( "b) What is its circumference? \r
\n" ); document.write( "\n" ); document.write( "\"C=d%2Api\"\r
\n" ); document.write( "\n" ); document.write( "\"C=pi%288x+-+10%29\"\r
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