The rate of change of the area of the circle with respect to its radius r at r= 5 cm is: *
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Answer:
Area of circle =πr
2
A=πr
2
differentiating with respect to r we get
dr
dA
=2πr(
dr
dr
)
dr
dA
=2πr
dr
dA
=2×5×π
dr
dA
=10π
cm
cm
2
This is rate of change of area of circle with respect to radius 5cm
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