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A circular wall clock has a radius of 28 cm. Calculate the distance covered by the tip of the hour hand in 9 hours, assuming it is positioned at the edge of the clock face. Use \(\pi = 22/7\).
- 132 cm
- 135 cm
- 138 cm
- 140 cm
Correct answer: 132 cm
Solution
The tip of the hour hand moves along a circle of radius 28 cm. In 12 hours it covers one full circumference, so in 9 hours it covers \(9/12=3/4\) of the circle. Circumference = \(2\pi r = 2\times \frac{22}{7}\times 28 = 176\) cm, and \(3/4\) of this is 132 cm.
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