28.9k views
2 votes
12.

What is the distance traveled by the tip of the second hand of a clock in 1 minute if the hand is 10.5 inches long? Leave your answer in terms of π.

User KFP
by
8.3k points

2 Answers

3 votes

Answer:

(1/30π) x 6 cm = 0.06283185 x 6 cm = 0.376 cm.

Step-by-step explanation:

The distance travelled by the tip of the second hand of a clock in 1 minute, if the hand is 6 cm long, is approximately 3.6 degrees or approximately 0.06283185 radians. This is because the circumference of a complete circle is equal to 2π radians, and a clock face is divided into 60 equal parts, so each part is equal to 1/60 of 2π or 1/30π radians. To convert this to cm, you can multiply by the length of the second hand, which is 6 cm. Therefore, the distance travelled is (1/30π) x 6 cm = 0.06283185 x 6 cm = 0.376 cm.

If you have any questions ask me please! :)

User Solimanware
by
8.7k points
3 votes

Answer:

(1/30π) x 6 cm = 0.06283185 x 6 cm = 0.376 cm.

Step-by-step explanation:

the person above me is correct I checked their answer

User Junji Zhi
by
8.2k points