Question

Длина минутной стрелки часов 35 см. Сколько см пути пройдет эта стрелка за: а) 20 минутб) 35 минутОтвет записать с числом П

Answer 1

1)20 мин - это 1/3 часа (20/60=1/3)  доля=1/3
2)35 мин - это 7/12 часа (35/60=7/12)  доля =7/12
длина всей окружности С=2πR
Cтрелка проходит часть окружности, поэтому путь S будет равен:
S= доля*2πR
1) S= 1/3*2*π*35см=70/3см*π=23,33π    (73,266...см)
2)S=7/12*2*π*35см= ...           =40,83π      (128,216...см)

Answer 2

Calculation of the Distance Traveled by the Minute Hand

To calculate the distance traveled by the minute hand of a clock, we need to know the length of the minute hand and the time duration. In this case, the length of the minute hand is given as 35 cm.

a) For a duration of 20 minutes: To find the distance traveled by the minute hand in 20 minutes, we can use the formula: Distance = (Length of the minute hand) x (Number of complete rotations)

Since the minute hand completes one full rotation every 60 minutes, we can calculate the number of complete rotations in 20 minutes as: Number of complete rotations = (20 minutes) / (60 minutes per rotation) = 1/3 rotation

Therefore, the distance traveled by the minute hand in 20 minutes is: Distance = (35 cm) x (1/3 rotation) = 35/3 cm

b) For a duration of 35 minutes: Using the same formula, we can calculate the number of complete rotations in 35 minutes as: Number of complete rotations = (35 minutes) / (60 minutes per rotation) = 7/12 rotation

Therefore, the distance traveled by the minute hand in 35 minutes is: Distance = (35 cm) x (7/12 rotation) = 205/12 cm

So, the distance traveled by the minute hand in 20 minutes is 35/3 cm and in 35 minutes is 205/12 cm.

Please note that the above calculations assume that the minute hand moves continuously without any pauses or stops during the given time duration.