document.write( "Question 1004275: The area of a circle is directly proportional to the square of its radius. The area of a circle whose diameter is 40 cm is 1256 sq cm. What is the area of a circle whose diameter is 20 cm? 10 cm? 12 cm? 30 cm? \n" ); document.write( "
Algebra.Com's Answer #620781 by Cromlix(4381)\"\" \"About 
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Hi there,
\n" ); document.write( "The area of a circle is directly
\n" ); document.write( "proportional to the square of its radius.
\n" ); document.write( "A = kr^2
\n" ); document.write( "Where k = constant of proportionality
\n" ); document.write( "A = kr^2
\n" ); document.write( "1256 = k20^2
\n" ); document.write( "k = 1256/400
\n" ); document.write( "k = 3.14
\n" ); document.write( "Formula:
\n" ); document.write( "A = 3.14r^2
\n" ); document.write( "Problem:
\n" ); document.write( "A = 3.14 x 10^2
\n" ); document.write( "A = 3.14 x 100
\n" ); document.write( "A = 314 sq cm.
\n" ); document.write( "Hope this helps :-)
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