Question

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

Answer 1

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