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Differential Calculus

Cool goIITian

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3 Jul 2009 21:11:28 IST

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if the rate of change in the circumference of a circle is 0.3 cm/sec, then the rate of change in the

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if the rate of change in the circumference of a circle is 0.3 cm/sec, then the rate of change in the area of the circle when the radius is 5 cm is ?

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sai sharan reddy bandi

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Joined: 19 Feb 2009

Posts: 11

3 Jul 2009 21:23:24 IST

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1.5

eragon24

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Joined: 14 May 2009

Posts: 697

3 Jul 2009 21:23:58 IST

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p be pie

c=2pr

differentiating wrt t

dc/dt=2pdr/dt

dc/dt=.3

.3/2p=dr/dt

a=pr^2

da/dt=2prdr/dt

2*p*5*.3/2p

=1.5

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