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# The short and long hands of a clock are 4cm and 6cm long respectively. Find the Sum of distance travelled by their tips in 2 days.

Last updated date: 19th Jul 2024
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Hint:
Total distance travelled will be equal to distance travelled in one revolution that will it’s circumference multiplied by total revolution. You have to add distance travelled by short hand and distance travelled by long hand.

Distance covered by small hand or hour hand tip = total revolution $\times 2\pi r$
=$\frac{{2 \times 24}}{{12}} \times 2 \times 3.14 \times 4 = 100.48{\text{cm}}$(in two days total hours is 48 and hour hand completes one revolution in 12 hours so you have to divide by 12 to find total revolution)
Distance travelled by large hand or minute hand tip =total revolution $\times 2\pi {\text{r}}$
$\Rightarrow \frac{{2 \times 24}}{1} \times 2 \times 3.14 \times 6 = 1808.64{\text{cm}}$