The area of a circular oil spill in Mumbai harbour is expanding. If A = πr², the rate of change of area with respect to its radius r when r = 10 m is:
The area of a circular oil spill in Mumbai harbour is expanding. If A = πr², the rate of change of area with respect to its radius r when r = 10 m is:
- A. 10π m²/m
- B. 20π m²/m
- C. 100π m²/m
- D. 5π m²/m
Answer: B) 20π m²/m
Explanation: dA/dr = 2πr. When r = 10 m, the rate is 2π(10) = 20π square meters per meter.
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