document.write( "Question 1106185: A stone is thrown into a lake and a circular ripple moves out at a constant speed of 1m/s. Find the rate of change of the circle’s area at the moment when t= 4s. \n" ); document.write( "
Algebra.Com's Answer #721136 by ikleyn(52864)\"\" \"About 
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document.write( "You are given for the radius R(t) = t, where \"t\" is time in seconds.\r\n" );
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document.write( "The area of the circle is A(t) = \"pi%2A%28R%28t%29%29%5E2\" = \"pi%2At%5E2\".\r\n" );
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document.write( "The rate of change of the circle’s area is  \"%28dA%29%2F%28dt%29\" = \"2%2Api%2At\".\r\n" );
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document.write( "At t = 4 seconds,  \"%28dA%29%2F%28dt%29\" = \"2%2Api%2A4\" = \"2%2A3.14%2A4\" = 25.12 m^2/s.\r\n" );
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