  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°   =  30∘360∘    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  Suggest corrections  Similar questions
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