document.write( "Question 1056291: A circular patch of oil spread out on water increases at a rate of 6 cm^2/s. at what rate is the area increasing when the radius is 2cm? \n" ); document.write( "

Algebra.Com's Answer #671483 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
For a circle,
\n" ); document.write( " $\"A=pi%2AR%5E2\"$
\n" ); document.write( "So,
\n" ); document.write( " $\"dA%2Fdt=2pi%2AR%2A%28dR%2Fdt%29\"$
\n" ); document.write( "Substituting,
\n" ); document.write( " $\"6=2pi%2A2%2A%28dR%2Fdt%29\"$
\n" ); document.write( " $\"dR%2Fdt=6%2F%284pi%29\"$
\n" ); document.write( " $\"dR%2Fdt=3%2F%282pi%29\"$ $\"cm%2Fs\"$
\n" ); document.write( " \n" ); document.write( "

\n" );