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)![]() ![]() You can put this solution on YOUR website! 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 :-) \n" ); document.write( " |