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  • Explain solution RD Sharma class 12 chapter 12 Derivative as a Rate Measurer exercise multiple choise question 20 maths

Explain solution RD Sharma class 12 chapter 12 Derivative as a Rate Measurer exercise multiple choise question 20 maths

Answers (1)

Answer:

0.24\pi \: cm^{2}/sec

Hint:

The circumference of a circle

A(r)=\pi r^{2} \quad \quad \quad \quad \quad....(i)

Given:

\begin{aligned} &r=12 \mathrm{~cm} \\ &\frac{d r}{d t}=0.01 \mathrm{~cm} / \mathrm{sec} \end{aligned}

Solution:

\begin{aligned} &\rightarrow \text { Differentiating (i) respect to } \mathrm{t} \text { , we get }\\ &\frac{d A}{d t}=2 \pi r \frac{d r}{d t}=2 \pi \times 12 \times 0.01\\ &=0.24 \pi \mathrm{cm}^{2} / \mathrm{sec} \end{aligned}

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Gurleen Kaur

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