Mathematics: The tower at Philadelphia City Hall contains four clocks that have a radius of about 3.96 meters. Find how far the minute hand travels after each number of rotations around the clock face. Round to the nearest hundredth.

ygggStep-by-step explanation:...

The tower at Philadelphia City Hall contains four

dragpack70

21.01.2022

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:-

$Circumference\ of\ circle=2\pi r$

$=2\times\frac{22}{7} \times3.96\\\\ =\frac{174.24}{7} \\\\ =24.8914\ meters$

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 = $24.8914\times4=99.5656\ meters$

Therefore, minute hand travels 99.57 meters distance after each number of rotations around the clock face.

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