Answer:
99.57 meters.
Step-by-step explanation:
Given:
The tower at Philadelphia City Hall contains four clocks that have a radius of about 3.96 meters
Question asked:
Find how far the minute hand travels after each number of rotations around the clock face.
Solution:
Radius, r = 3.96 meters
As we have to find distance traveled by minute hand, we will find circumference of circular clock:-
[tex]Circumference\ of\ circle=2\pi r[/tex]
[tex]=2\times\frac{22}{7} \times3.96\\\\ =\frac{174.24}{7} \\\\ =24.8914\ meters[/tex]
Hence, we found that at one rotation (distance traveled) of minute hand of each clock is 24.89 meters.
Now, we will find distance traveled by 4 minute hand of 4 clocks = [tex]24.8914\times4=99.5656\ meters[/tex]
Therefore, minute hand travels 99.57 meters distance after each number of rotations around the clock face.
