How to find the distance between clock hands - GRE Quantitative Reasoning

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Question

A clock has two equally long hands on it, each measuring inches. If the minute hand is directly on and the hour hand is directly on , what is the distance between the two hands?

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Answer

Our clock looks roughly like this:

Clock124

Now, between every number on the clock, there are or degrees. Therefore, from to , there are degrees. To find the arc length, you use the equation:

Now, we know:

We know that . Therefore, we can write our equation:

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