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The second hand of the watch is 2 cm long. How far the tip will move in 40 seconds?(a) 6.28 cm(b) 12.56 cm(c) 3.14 cm(d) 1.57 cmThis question was addressed to me by my college director while I was bunking the class.This interesting question is from Trigonometric Functions topic in section Trigonometric Functions of Mathematics – Class 11

Answer»

Right OPTION is (b) 12.56 cm

For explanation I would say: Radius of circle=2 cm

In 60 seconds, angle COVERED by SECOND HAND is 360°

In 40 seconds, angle covered by second hand is 360°*4/6 = 240°

240°=240*

Angle=Arc length/Radius

240*π/180 = Arc length/2

Arc length=8 π/3 = 12.56 cm.



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