Mathematics

Mathematics

Problem

The circumference of a circle increases at a constant rate of 0.5 cm/s0.5\,\text{cm/s}. Find the rate at which its area is increasing when the radius is 10 cm10\,\text{cm}. a) 5π cm2/s5\pi\,\text{cm}^{2}/\text{s} b) 10π cm2/s10\pi\,\text{cm}^{2}/\text{s} c) 5 cm2/s5\,\text{cm}^{2}/\text{s} d) 10 cm2/s10\,\text{cm}^{2}/\text{s}

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