Question 58

The minute hand of a watch is 1.5 cm long. How far does its tip move in 40 minutes?

Solution

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In this case, the radius of the circle traced by the minute hand is 1.5 cm.

Circumference = 2Ο€r = 2Ο€(1.5) = 3Ο€ cm

The minute hand covers this distance in 60 minutes.

Let x be the distance covered by the tip of the minute hand in 40 minutes.

$$\dfrac{x}{3\pi\ }=\dfrac{40}{60}$$

x = 2Ο€ = 6.28 cm

Therefore, the tip of the minute hand moves a distance of 6.28 cm in 40 minutes.

The answer is optionΒ A.

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