the minute hand of a clock is 6cm long how far does the end of the hand travel in 35 minute
the clock moves circular in motion. the area of circumference=2 pie r. u substitute the values, 2*22/7*6=37.7cm now,degrees covered in 35mins, convert one minute to seconds and divide it by 360.(360/60=6) and the multiply 6*35mins=210degrees in 35mins. so next u look for distance covered in 1degree first and then multiply it by the degrees u got earlier e.g 37.7cm/360=0.1047 that is(1degree) so u multiply it with the degrees u got which is 0.1047*210=21.987 approximately 22cm. thanks nd may ALLAH HELP US ALL.
22cm
I didn't really get it, but good working
35 min = 7/12 of an hour.
That is, 7/12 of the circumference of a circle with radius 6 cm.
so, ...
Well, the end of the hand would travel approximately the same distance as the circumference of a circle with a radius of 6 cm. So, using the formula C = 2πr, the distance traveled would be about 2π(6) = 12π cm. However, since you specifically asked for a result using humor, let's just say that the end of the hand goes on a little joyride and travels roughly the same distance as a snail trying to catch a cheetah in a 35-minute time span.
To determine how far the end of the minute hand travels in 35 minutes, we first need to find the distance traveled by the minute hand for each minute.
The minute hand of a clock moves in a circular motion with the center of the clock as the pivot point. The distance traveled by a point on a circle is equal to the circumference of the circle, which can be found using the formula:
Circumference = 2 * π * radius
In this case, the radius is equal to the length of the minute hand, which is given as 6 cm. So, the circumference of the circle is:
Circumference = 2 * π * 6 cm
Now, we need to find the distance traveled by the end of the hand for each minute. Since there are 60 minutes in an hour and the clock is divided into 12 equal sections, the minute hand will complete a full revolution around the clock (360 degrees) in 60 minutes.
Therefore, in one minute, the minute hand will travel:
Distance traveled in one minute = Circumference / 60
Plugging in the values, we have:
Distance traveled in one minute = (2 * π * 6 cm) / 60
Simplifying the equation gives:
Distance traveled in one minute = π * 6 cm / 30
Now, we can find the total distance traveled by the end of the minute hand in 35 minutes by multiplying the distance traveled in one minute by 35:
Total distance traveled in 35 minutes = Distance traveled in one minute * 35
Total distance traveled in 35 minutes = (π * 6 cm / 30) * 35
Simplifying the equation gives:
Total distance traveled in 35 minutes = π * 6 cm * 35 / 30
Calculating it gives:
Total distance traveled in 35 minutes ≈ 65.973 cm (rounded to three decimal places)
Therefore, the end of the minute hand travels approximately 65.973 cm in 35 minutes.