Answer true or false. A circular spill is spreading so that when its radius r is 1 m, dr = 0.005 m. The corresponding change in the area covered by the spill, A, is, to the nearest hundredth of a square meter, 0.008 m².

Question

Quizplus · Accepted Answer

The change in the area of a circle, given the change in radius, can be calculated using the formula $dA = 2\pi r \, dr$. Substituting $r = 1$ m and $dr = 0.005$ m, we get $dA = 2\pi(1)(0.005) = 0.01\pi \approx 0.0314$ m², not 0.008 m².

Answer True or False