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The rate of change of the area of a circle with respect to its radius r at r = 6 cm is
(A) 10π (B) 12π (C) 8π (D) 11π
The area of a circle (A) with radius (r) is given by,
Therefore, the rate of change of the area with respect to its radius r is
.
∴When r = 6 cm,
Hence, the required rate of change of the area of a circle is 12π cm2/s.
The correct answer is B.
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The rate of change of the area of a circle with respect to its radius r at r = 6 cm is
(A) 10π (B) 12π (C) 8π (D) 11π
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