SOLUTION: The length of the minute hand of a clock is 5 cm. Find the area swept by the minute hand during the time period 6 : 05 a m and 6 : 40 a m.

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Question 239339: The length of the minute hand of a clock is 5 cm. Find the area swept by the
minute hand during the time period 6 : 05 a m and 6 : 40 a m.

Answer by vleith(2983)   (Show Source): You can put this solution on YOUR website!
Each 5 minute segment is of a circle. In this problem the minute sweeps from 6:05 to 6:40. That is 7 five minute segments. Which means the area swept is 7/12 of the area on the clock face.

You are told


But we only swept 7/12 of the full area. So the area we want is


cm^2

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