anonymous
  • anonymous
Freddie is at chess practice waiting on his opponent's next move. He notices that the 4-inch-long minute hand is rotating around the clock and marking off time like degrees on a unit circle. Part 1: How many radians does the minute hand move from 3:35 to 3:55? (Hint: Find the number of degrees per minute first.) Part 2: How far does the tip of the minute hand travel during that time? You must show all of your work.
Mathematics
chestercat
  • chestercat
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Vocaloid
  • Vocaloid
well, there are 360 degrees in a circle, and 60 minutes in one hour, so how many degrees do you think are in one minute?
anonymous
  • anonymous
|dw:1440120032513:dw|
anonymous
  • anonymous

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anonymous
  • anonymous
|dw:1440120138082:dw|
anonymous
  • anonymous
@dan915 is that 2pi rad?
anonymous
  • anonymous
|dw:1440120282452:dw|
anonymous
  • anonymous
rad is short for radius it means there are 2*pi radius units in a circle thats why the circle circumference is also 2pi*r
anonymous
  • anonymous
they like to be fancy and call it radians
anonymous
  • anonymous
if in 1 hour hand moves 2pi radians in 1/3 hour hand moves ? radians
anonymous
  • anonymous
@dan915 2p1/3
pooja195
  • pooja195
3:35 to 3:55=20 minutes = 1/3 *360 degrees = 120 degrees 180 degrees = pi radians so 120 degrees = (2/3) pi radians. 2. 4" x (2/3)pi = (8/3)pi inches

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