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Find the angle between minute hand and hour hand of a watch at 10:05 o'clock ?

Option: 1

\frac{33}{72}\pi


Option: 2

\frac{\pi}{2}


Option: 3

\frac{35}{72}\pi


Option: 4

\frac{37}{72}\pi


Answers (1)

best_answer

\\Angle\ made\ by\ minute\ hand\ in\ 5 \,minutes=\frac{2\pi}{60}*5=\frac{\pi}{6}  \\Angle\ made\ by\ hour\ hand\ in\ 5 \,minutes=\frac{2\pi}{60*12}*5 =\frac{\pi}{72}\\Required\ Angle\ between\ hour\ hand\ and\ minute\ hand=\frac{\pi}{6}+\frac{2\pi}{6} - \frac{\pi}{72} =\frac{35\pi}{72}

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Pankaj Sanodiya

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