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
3
Answer:
1.884 *10 to power minus 5
Step-by-step explanation:
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Answered by
0
Answer:
The area of circular plate is increasing at the rate of
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
The area of the circular plate is given by the relation as shown below
To find the rate of increase of area we shall differentiate it with respect to time.Therefore,
The rate of increase in radius is given as
Substituting known values in the above relation,we get
Therefore,the area of circular plate is increasing at the rate of
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