The minute hand of a clock is 6 inches long and moves from 12 to 4 o'clock. How far does the tip of the minute hand move? Express your answer in terms of pi and then round to two decimal places.

Question

anonymous · Answer

u need to convert polar coordinates into cartesian system coordinates

anonymous · Answer

ur initial polar coordinates are (6,90deg.)

anonymous · Answer

final are (6 ,120 deg)

anonymous · Answer

i really dont understand that

anonymous · Answer

$$distance traveled by tip of minute hand \in one revolution or 360 degrees=2*\pi r$$
$$distance traveled by tip of minute hand \in 120 degrees=\frac{ 2*pir }{360 }*120$$
r=6"
calculate.

anonymous · Answer

$$=\frac{ 2*\pi*6*120 }{360 }=4 \pi $$

anonymous · Answer

$$4 \pi =4*3.14=12.56" $$