The rate of change of the area of a circle with respect
to its radius, when r=3 cm is
1
(a) 2 cm²/cm (b) 31 cm²/cm
(c) 61 cm²/cm (d) 121 cm"/cm
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1
Answer:
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
Step-by-step explanation:
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