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kumpel [21]
3 years ago
13

Find the distance traveled by the tip of the second hand of a clock in one minute if the hand is 6cm long.

Mathematics
1 answer:
gayaneshka [121]3 years ago
4 0
The circumference of a circle with radius 6 inches is 12π inches. 15 minutes is 1/4 of the circle which is 60 minutes Therefore the tip moves 1/4 of 12π = 3π inches In 25 minutes the tip moves (25/60)12π = 5π inches Yes, you can also use the formula s = rθ θ is the angle of rotation. 15 minutes is equivalent to 90 degrees or π/2 radians Therefore s = 6 inches(π/2) = 3π inches 25 minutes is equivalent to 25/60 x 360 degrees = 150 degrees = 5π/6 radians 
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