The tip of the minute hand moved in 35 minutes is 25.66 inches.
Given:
The minute hand of a clock is 7 inches long.
To find:
How far does the tip of the minute hand move in 35 minutes
Solution:
[tex]360^o=60 minutes\\\\1 min= \frac{360^o}{60}=6^o\\\\35 min=35\times 6^o=210^o[/tex]
The length of the minute hand = 7 inches
The angle subtended by the minute hand in 35 minutes = 210°
The distance covered by the minute hand in 35 minutes = l
The length of the arc is given by:
[tex]l=2\pi \times r\times \frac{\theta }{360^o}\\\\l=2\times \pi\times 7 inches\times \frac{210}{360^o}\\\\l=25.6563 inches\approx 25.66 inches[/tex]
The distance covered by the minute hand in 35 minutes is 25.66 inches.
The tip of the minute hand moved in 35 minutes is 25.66 inches.
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