SOLUTION: The minute hand on a grandfather clock cuts and angle of 30 degrees as it moves from 12 to 1 on the clock face. If the minute hand is 16.7cm long, what is the area of the clock fa

Algebra ->  Circles -> SOLUTION: The minute hand on a grandfather clock cuts and angle of 30 degrees as it moves from 12 to 1 on the clock face. If the minute hand is 16.7cm long, what is the area of the clock fa      Log On


   



Question 298847: The minute hand on a grandfather clock cuts and angle of 30 degrees as it moves from 12 to 1 on the clock face. If the minute hand is 16.7cm long, what is the area of the clock face over which the minute hand moves from 12 to 1?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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The minute hand on a grandfather clock cuts and angle of 30 degrees as it moves
from 12 to 1 on the clock face.
If the minute hand is 16.7cm long, what is the area of the clock face over
which the minute hand moves from 12 to 1?
:
Find the area of the clock dial
A = pi%2A16.7%5E2
A = 876.16 sq/cm
:
Find the area covered by the hand as it travels 1%2F12 of the dial
876.16%2F12 = 73.0 sq/cm