The minute hand completes one full rotation in 60 minutes. Therefore, in 35 minutes, it will travel a fraction of a full rotation:
fraction of rotation = 35/60 = 7/12
To find the distance traveled by the end of the hand, we need to find the circumference of the circle it traces:
circumference = 2πr
where r is the length of the minute hand (6cm). Substituting in this value and simplifying:
circumference = 2π × 6 = 12π cm
The distance traveled by the end of the hand is therefore:
distance = fraction of rotation × circumference
distance = (7/12) × 12π
distance = 7π cm
Therefore, the end of the minute hand travels 7π cm in 35 minutes.
The minute- hand of clock is 6cm long.how far does the end of the hand travel in 35 minutes?
1 answer