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jmc

geometry senior

Problem

The second hand on the clock pictured below is 6 cm long. How far in centimeters does the tip of this second hand travel during a period of 30 minutes? Express your answer in terms of .

problem
Solution
In 30 minutes, the tip of the second hand travels 30 times around the circumference of a circle of radius 6cm. Since the circumference is , the tip of the second hand travels centimeters.
Final answer
360\pi