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Question Number 63750 by Tawa1 last updated on 08/Jul/19

Commented by Prithwish sen last updated on 08/Jul/19

$$\mathrm{perimeter}\mathrm{of}\mathrm{circle}\mathrm{A}=\frac{2}{3}\pi \mathrm{r}\mathrm{unit}$$$$\mathrm{perimeter}\mathrm{of}\mathrm{circle}\mathrm{B}=2\pi \mathrm{r}\mathrm{unit}$$$$\mathrm{Circle}\mathrm{A}$$$$\mathrm{covers}\frac{2}{3}\pi \mathrm{r}\mathrm{in}1\mathrm{time}$$$$\therefore \mathrm{it}\mathrm{covers}2\pi \mathrm{r}\mathrm{in}\frac{2\pi \mathrm{r}}{\frac{2}{3}\pi \mathrm{r}}\mathrm{times}=3\mathrm{times}$$

Commented by Tawa1 last updated on 08/Jul/19

$$\mathrm{God}\mathrm{bless}\mathrm{you}\mathrm{sir}$$

Answered by MJS last updated on 08/Jul/19

$$\mathrm{perimeter}\mathrm{of}\mathrm{circle}\mathrm{A}=p_A$$$$\mathrm{perimeter}\mathrm{of}\mathrm{circle}\mathrm{B}=p_B$$$$\frac{r_B}{r_A}=\frac{p_B}{p_A}=\frac{3}{1}=3$$$$\Rightarrow \mathrm{answer}\left(\mathrm{b}\right)$$

Commented by Tawa1 last updated on 08/Jul/19

$$\mathrm{God}\mathrm{bless}\mathrm{you}\mathrm{sir},\mathrm{but}\mathrm{i}{\mathrm{don}}^{\prime }\mathrm{t}\mathrm{understand}\mathrm{how}\mathrm{it}\mathrm{is}\frac{3}{1}$$

Commented by MJS last updated on 08/Jul/19

$$r_A=\frac{r_B}{3}\iff r_B=3r_A\iff \frac{r_B}{r_A}=3$$$$p_A=2\pi r_A=\frac{2\pi }{3}{r}_B=\frac{1}{3}{p}_B\iff \frac{p_B}{p_A}=3$$

Commented by Tawa1 last updated on 08/Jul/19

$$\mathrm{I}\mathrm{appreciate}\mathrm{sir}$$

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