CUET · MATHS · PYQ PAPER 2023
The rate of change of the area of a circular disc with respect to its circumference when radius is 3 is :
- A 6 unit
- B 3 unit
- C \(6 \pi\) unit
- D \(2 \pi\) unit
Answer & Solution
Correct Answer
(B) 3 unit
Step-by-step Solution
Detailed explanation
\(A = \pi r^2, C = 2\pi r\) \(\frac{dA}{dC} = \frac{d(\pi r^2)/dr}{d(2\pi r)/dr} = \frac{2\pi r}{2\pi}\) \(= r\) \(\text{At } r=3, \frac{dA}{dC} = 3 \text{ unit}\)
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