A circular parchment is being unrolled so that its radius increases at

MATHEMATICS · Single correct · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation

Problem

A circular parchment is being unrolled so that its radius increases at 2 cm/s2\,\text{cm}/\text{s}. When the radius is 5 cm5\,\text{cm}, how fast is the area of the parchment increasing? (a) 50π cm2/s50\pi\,\text{cm}^2/\text{s} (b) 20 cm2/s20\,\text{cm}^2/\text{s} (c) 20π cm2/s20\pi\,\text{cm}^2/\text{s} (d) 10π cm2/s10\pi\,\text{cm}^2/\text{s}

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