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) About Me  (Show Source):
You can put this solution on YOUR website!
Each 5 minute segment is 1%2F12 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.
AreaOfCircle+=+2%2Api%2Ar%5E2
You are told r+=+5cm
AreaOfCirlce+=+2%2Api%2A5%5E2
AreaOfCirlce+=+50%2Api
But we only swept 7/12 of the full area. So the area we want is
%287%2F12%29%2A50pi
29.1667%2Api
91.58cm^2