Question

the radius of the circle is increasing at the rate of 3 cm per second.​

Answer 1

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The Radius of the circle is increasing at the rate of 3 cm per second.

$\huge\tt\colorbox{pink}{Answer}$

Let r be the radius of the circle.

Rate of increase = 3 cm/sec

dr / dt = 3

A = πr2

dA / dt = d [πr2] / dt = 2πr (dr / dt)

= 2πr * 3

= 6πr

When r = 10, rate of increase in area = 6π * 10 = 60π cm2/sec

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Answer 2

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