The minute hand of a clock is 2 1cm long How far does its tip move in 20 minutes - Maths - Trigonometric Functions

Question

The minute hand of a clock is 2 1cm long How far does its tip move
in 20 minutes [ use pie = 22/7 ]

Lovina Kansal · Accepted Answer

Dear student
In 60 minutes, the minute hand of a watch completes one rotation i
e, it ratotes through 360'
Angle traced by the minute hand in 1 minute=36060°=6°Angle traced by the minute hand in 20 minutes=20×6°=120°=120×π180c=2π3cNow, θ=arcradius2π3=arc2
1⇒arc=4 2π3cm=4 23×227cm=4
4cmHence the tip of the minute hand travels 4
4cm in 20 minutes
Regards

The minute hand of a clock is 2.1cm long. How far does its tip move in 20 minutes. [ use pie = 22/7 ]