The area of a circle is given by A = a r2, where r is the radius. Calculate the rate of increase of area w.r.t.
radius.
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Step-by-step explanation:
Area (A) of circle having radius (r) id given by,
A=πr
2
Differentiate above w.r.t. r
dr
dA
=2πr
Hence rate of change of area when radius r=2 cm is
=
dr
dA
∣
∣
∣
∣
∣
r=2
=2π(2)2=4π cm
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