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The length of the minute hand is 200% of the length of the hour hand. In 1 hour, how much farther does the tip of the minute hand move than the tip of the hour hand? Round your answer to the nearest hundredth. The radius of the hour hand is 20

Guest Mar 10, 2017
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The radius of the hour hand is 20 units

The radius of the minute hand is 2(20) = 40 units

 

The circumference of the hour hand's circle = 2(20)π = 40π units

The circumference of the minute hand's circle is 2(40)π = 80π units

 

The tip of the hour hand goes 1/12 of the circumference of its circle in one hour.

The tip of the minute hand goes 1 of the circumference of its circle in one hour.

 

The tip of the hour hand travels (1/12)(40π) = 10π/3 units

The tip of the minute hand travels (1)(80π) = 80π units

 

80π - 10π/3 = 230π/3 units ≈ 240.86 units

hectictar  Mar 10, 2017

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