Q. Find the rate f change of area of a circle with respect to r when r = 5cm
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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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