Discussion
The minute hand of a clock is 7 cm long. How far does its tip travel in 30 minutes ? (Take \(\pi = 22/7\))
Answer: B
Correct answer: 22 cm
In 30 minutes the minute hand sweeps half a revolution, so its tip traces a semicircle of radius 7 cm.
\[\text{Distance} = \pi r = \frac{22}{7} \times 7 = 22 \text{ cm}\]
A full hour would carry the tip the whole circumference, \(2\pi r = 44\) cm.
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