1. The problem statement, all variables and given/known data a) if A is the area of circle with radius r and the circle expands as time passes, find dV/dt in terms of dr/dt b)Suppose oil spills from a ruptured ranker and spreads in a circular pattern. If the radius of the oil spill increases at a constant rate of 1 m/s, how fast is the area of the spill increasing when the radius is 30 m? 2. Relevant equations A=(pi)r2 3. The attempt at a solution dA/dt= ((pi)r2)'=(r2+2(pi)r) dA/dt= ((pi)2(30) + 302) is this correct? it seems like an awfully big number what have I done wrong?