Math, asked by sujatham60368, 1 year ago

A circular metal plate expands by heat so that its radius is increasing at the rate 0.02cm per second. At what rate its area increasing when the radius is 20cm​

Answers

Answered by satyamhota
3

Answer:

1.884 *10 to power minus 5

Step-by-step explanation:

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Answered by rinayjainsl
0

Answer:

The area of circular plate is increasing at the rate of 2.512cm^{2}/s

Step-by-step explanation:

Given that,

A circular metal plate expands by heat so that its radius is increasing at the rate 0.02cm per second and we are required to find the rate at which the area of the plate is increasing.

Also given,Radius of the plate r=20cm

The area of the circular plate is given by the relation as shown below

A=\pi r^{2}

To find the rate of increase of area we shall differentiate it with respect to time.Therefore,

\frac{dA}{dt}=2\pi r\frac{dr}{dt}

The rate of increase in radius is given as \frac{dr}{dt} =0.02cm/s

Substituting known values in the above relation,we get

\frac{dA}{dt}=2\pi \times 20\times0.02=2.512cm^{2}/s

Therefore,the area of circular plate is increasing at the rate of 2.512cm^{2}/s

#SPJ2

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