CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon


Question

The length of the minute hand of a clock is 14 cm. Find the area swept by the minute hand in 5 minutes.


Solution

We know that in 1 hour (i.e., 60 minutes), the minute hand rotates360 

In 5 minutes, minute hand will rotate  = 36060. 5  =  30                                                                                                       =

Therefore, the area swept by the minute hand in 5 minutes will be the area of a sector of 30  in a circle of 14 cm radius.

Area of sector of angle θ =   θ360  . π. r2                                                                                           

Area of sector of 30°   =  30360    227 . 14 .14                                                                                                                                             

                =  2212 . 2 .14 
                                      =  (11).(14)3 

                                     = 1543 cm2  

                                      = 51.33 cm2 
    

Therefore, the area swept by the minute hand in 5 minutes is 51.33 cm2 

flag
 Suggest corrections
thumbs-up
 
0 Upvotes


Similar questions
QuestionImage
QuestionImage
View More...


Same exercise questions
QuestionImage
QuestionImage
View More...



footer-image