SOLUTION: FInd the angle in radians through which the second hand turns in a week

Question 1141184: FInd the angle in radians through which the second hand turns in a week
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
there's the hour hand and the minute hand and the second hand.

the second hand makes one complete revolution every minute.

it is therefore progressing through 2 * pi radians every minute because there are 2 * pi radians in a complete circle (2 * pi radians is equal to 360 degrees).

one day is equal to 24 hours * 60 minutes per hour = 1440 minutes

there are 7 days in a week, therefore 1 week is equal to 7 * 1440 = 10080 minutes.

each minute has the second hand traveling through 2 * pi radians, therefore 10080 minutes has the second hand traveling through 10080 * 2 * pi = 20160 * pi radians.

that should be your answer.

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