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the minute hand of a clock is 6 inches long and moves from 3 o'clock to 5 o'clock. how far does the tip of the minute hand move? express your answer round to two decimal places

Sagot :

Kate200468idn
[tex] from\ 3\ o'clock\ to\ 5\ o'clock\ is\ 2\ hours\\\\12\ hours\ \ \ \rightarrow\ \ \ 360^0\\2\ hours\ \ \ \ \rightarrow\ \ \ \ \alpha \\\\ \alpha = \frac{2\cdot360^0}{12} =60^0\\\\x= \frac{60^0}{360^0} \cdot 2 \pi\cdot 6\ [in]= \frac{1}{6} \cdot12 \pi \ [in]=2 \pi \ [in]\approx2\cdot3.14\ [in]=6.28\ [in][/tex]
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