The minute hand of a clock is 6cm long. How far does the end of the hand travel in 35minutes
To determine how far the end of the minute hand travels in 35 minutes, we need to find the circumference of the circle formed by the movement of the end of the hand. The radius of this circle is the length of the minute hand, which is 6 cm.
The formula to calculate the circumference of a circle is:
C = 2 * pi * r
where
C = circumference
pi = 3.14159 (approximately)
r = radius
Substitute the given radius value to the formula:
C = 2 * 3.14159 * 6
C ≈ 37.69908 cm
That's the total length the end of the minute hand travels in 1 full revolution or 60 minutes.
Now, since we want to find the travel in 35 minutes, we can take the ratio of 35/60 of the full circumference:
Length = (35/60) * C
Length = (35/60) * 37.69908
Length ≈ 21.97979 cm
Therefore, the end of the minute hand will travel approximately 21.98 cm in 35 minutes.