Question

The minute hand of a clock rotates 120 degree in 20 minutes. Find the angle it rotates in radian in same time?​

Answer 1

Answer:

We know that the hour hand completes one rotation in 12h, while the minute hand completes one rotation in 60 min.

Therefore, the angle traced by the hour hand in 12h is 360

∘

.

Angle traced by the hour hand in 7 h 20 min, i.e.,

3

22

h=(

12

360

×

3

22

)

∘

=220

∘

Also, Angle traced by the minute hand in 60 min=360

∘

Angle traced by the minute hand in 20 min=(

60

360

×20)

∘

=120

∘

Hence, Required angle between the two hands=220

∘

−120

∘

=100

∘