trigonometry
posted by michelle .
The minute hand of a clock is 8 inches long. How far does the tip of the minute hand move in 30 minutes? How far does it move in 20 minutes?
For 30 min. I got 8pie inches. For 20 mins., I got (16pie/3)inches. but i don't know if these answers are correct. if my answers are wrong, please show me the steps to solving this.
Thanks.
Arc distance= radius*angular speed*time
angular speed for a minute hand is 1 rev per hour, or 2PI rad/hr
for 20 min:8in*2PI/hr*1/3 hr
You are correct.
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