document.write( "Question 757962: The are of a circle is directly proportional to the square of its radius. A circle with a radius of 2cm has an are of 12.566 cm^2. What is the radius of a circle with an area of 78.54cm^2?\r
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document.write( "Round to the nearest unit. \n" );
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Algebra.Com's Answer #461249 by Cromlix(4381)![]() ![]() You can put this solution on YOUR website! area is directly proportional to \n" ); document.write( "the square of its radius. \n" ); document.write( "A = kr^2 \n" ); document.write( "(k is the constant of proportionality) \n" ); document.write( "12.566 = k 2^2 \n" ); document.write( " k = 12.566/4 \n" ); document.write( " k = 3.1415 \n" ); document.write( "Formula: A = 3.1415 r^2 \n" ); document.write( " 78.54 = 3.1415 r^2 \n" ); document.write( " 78.54/3.1415 = r^2 \n" ); document.write( " r^2 = 25 \n" ); document.write( " r = 5cm\r \n" ); document.write( "\n" ); document.write( "Hope this helps. \n" ); document.write( ":-) \n" ); document.write( " \n" ); document.write( " |