JimBob900 JimBob900
  • 21-08-2017
  • Mathematics
contestada

the minute hand of a clock is 9.5cm long, How far does the tip of the hand travel in one day?

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Abu99
Abu99 Abu99
  • 21-08-2017
The tip of the hand travels the circumference of a circle with radius (r) 9.5 cm every hour;
The formula for circumference of a circle (c) is:
c = πd = 2πr
So, for a circle with radius 9.5, the circumference is:
c = 2π(9.5)
= 19π cm
The tip travels 19π cm every hour, so in a day of 24 hours it will travel:
24 * 19π = 456π cm
(= 1432.566... ⇒ 1432.6 cm)

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