Question

Find the rate of change of the area of a circle with respect to its radius r when
(a) r = 3 cm (b) r = 4 cm

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

(a) (pi)[9-r²]

(b) (pi)[16-r²]

Step-by-step explanation:

Area of circle=(pi)r²

(a)when r=3,

Area =(pi)3²=9(pi)

rate of change in area

=9(pi)-(pi)r²

=(pi)[9-r²]

(b)when r=4,

Area =(pi)4²=16(pi)

rate of change of area

=16(pi)-(pi)r²

=(pi)[16-r²]

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