Home › CBSE Class 11 › mathematics › Trigonometric Functions — Radian/Degree, Arc Length, Unit Circle, Quadrant Signs, Domain/Range › The minute hand of a watch is 1.5 cm long. The d…
The minute hand of a watch is 1.5 cm long. The distance the tip moves in 40 minutes is (use π = 3.14):
A9.42 cm
B3.14 cm
C6.28 cm
D1.57 cm
Answer & Solution
Correct answer: C. 6.28 cm
40 minutes = 2/3 of a revolution → θ = (2/3) × 2π = 4π/3 radians. Distance l = rθ = 1.5 × (4π/3) = 2π cm = 2 × 3.14 = 6.28 cm.
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