A circle is shrinking so that its radius decreases at

MATHEMATICS · Subjective · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation

Problem

A circle is shrinking so that its radius decreases at 0.2 cm/s0.2\,\text{cm/s}. When the radius is 10 cm10\,\text{cm}, what is the sign of dAdt\dfrac{dA}{dt}? Give a brief reason for your answer.

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