State True or False: The hour hand of a clock rotates through an angle \text{π}\over3 radian in 2 hours.
WBBSE
Class X
Mathematics
Concept of Measurement of Angle
01 Mark
2024
True
Explanation:
Hour hand moves in 12 hours = 360°
⇒ Hour hand moves in 1 hours = 360°\over 12
⇒ Hour hand moves in 2 hours = 30° × 2 = 60°
∴ In 2 hours it moves 60° = 60° × \text{π}\over180 = \text{π}\over3 rad.
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