Question

the length of a hand of a clock is 4.9 cm find the distance travelled by the tip of the Hour hand in a week​

Answer 1

Answer:

The distance traveled by the tip of the hour hand in a week is 431.2 cm.

Step-by-step explanation:

Solution

Radius of the clock = Length of the hour hand = 4.9 cm.

No. of days in a week = 7

No. of times the tip of the hour hand travels the circumference of the clock in a day = 2

Therefore,

No. of times the tip of the hour hand completes a rotation of the circumference of the clock in a week = 2*7

                = 14

Circumference of the clock = 2πr

                                              = 2*22/7*4.9cm

                                              = 30.8 cm

Therefore, the distance traveled by the tip of the hour hand in a week = Circumference of the clock*No. of times the tip of the hour hand completes a rotation of the circumference of the circle in a week.

= 30.8cm*14

= 431.2 cm