CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon


Question

At 3:40, the hour and minute hands of a clock are inclined at


  1. 7πc12

  2. 2πc3

  3. 13πc18

  4. 3πc4


Solution

The correct option is C

13πc18


We know that the hour hand of a clock completes one rotation in 12 hours.

Angle traced by the hour hand in 12 hours =360

Now,

Angle traced by the hour hand in 3 hours 40 minutes, i.e.,

113=(36012×113)

=110

We also know that the minute hand of a clock completes one rotation in 60 minutes.

Angle traced by the minute hand in 60 minutes = 360

Now,

Angle traced by the minute hand in 40 minutes =(36060×40)=240

Required angle between two hands

=240110=130

And,

Value of the angle (in radians) between the two hands of the clock

=(130×π180)c=(13π18)c=13πc18

flag
 Suggest corrections
thumbs-up
 
0 Upvotes


Similar questions
View More


Same exercise questions
View More


People also searched for
View More



footer-image