Q.

If the radius of a circle is increasing at the rate of 0.6 units/sec then the rate of change in its area when radius is 12 units

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a

14.4 sq.

b

0.1 sq.

c

30 sq.

d

0.6 sq.

answer is A.

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Detailed Solution

drdt=0.6  ,r=12         A=πr2         dAdt=2πr.drdt             = 2π×12×0.6            = 14.4π sq.units/sec
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