Question 3:
The length of the minute hand of a clock is 14 cm. Find the area swept by the minute hand in 5 minutes. [Use π = 22/7]
Answer:
We know that in 1 hour (i.e., 60 minutes), the minute hand rotates 360°.
In 5 minutes, minute hand will rotate = (360°/ 60) × 5 = 30°
Therefore, the area swept by the minute hand in 5 minutes will be the area of a sector of 30° in a circle of 14 cm radius.
Therefore, the area swept by the minute hand in 5 minutes is 154/3 cm2.
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