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Word Problem Exercises: Arc Lengths


General Questions


A circle has a radius of 7 inches. Find the arc length intercepted by a central angle of 280°.
1. 





How far does the tip of a 14 centimeter long minute hand on a clock move in 10 minutes?
2. 





An electric winch is used to pull a boat out of the water onto a trailer.  The winch winds the cable around a circular drum of diameter 5 inches.  Approximately how many times will the winch have to rotate in order to roll in 5 feet of cable?
3. 





Assuming that the Earth is a sphere of radius 4000 miles, find the distance between the following two cities whose latitudes are given.  You may assume that these cities are on the same basic longitude.
Cincinnati, Ohio (39º 8’ 46” N) and Huntsville, Alabama (34º 43’ 41” N)
4. 





Assuming that the Earth is a sphere of radius 4000 miles, find the distance between the following two cities whose latitudes are given.  You may assume that these cities are on the same basic longitude.
Phoenix, Arizona (33º 32’ 33” N) and Tropic, Utah (37º 37’ 24” N)
5. 








K Dodd

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