The minute hand of a clock is 7 cm long. How far does its tip move in 40 minutes?
Answers
Step-by-step explanation:
length of a Minute hand of a clock
= radius of the circle = r = 7 cm
Minute hand move 2 × Pie × r distance in 1 hour
=> In one hour ,
minute hand move = 2 × Pie × r
=> In 60 min. ,
minute hand move = 2 × Pie × r
=> in 1 min. ,
minute hand move =
( 2 × Pie × r ) / 60
=> In 40 min. ,
minute hand move
=( 2 × Pie × r ) × 40 / 60
= 2 ×( 22 / 7 ) × 7 × 40 / 60
= 2 × 22 × 40 / 60
= 2 × 22 × 4 /6 = 2 × 22 × 2 /3
= 88 / 3 = 29.33 cm
HEY
↪ Actually welcome to the World of Time and Distance
↪ Whats happening here just making u some understand that here time is decreased to 40 mins means ur answer will be less than what should u find in 60 min..
↪Now coming to ur question
In 60 min it will move 2pie r
Now time decreased to 40 min ..
means 40/60 = 2/3
u have to find 2 pie . r .2/3
Now put the value
2 × 22/7 × 7 ×2/3
=88/3 is ur answer
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