The second hand on a clock is 8 cm. What is the distance the tip of the second hand travels in 10 minutes?

Respuesta :

Answer:

8.37 cm rounded

Step-by-step explanation:

The second hand on a clock rotates around the center of a clock creating a circle. This means it travels around the circle of the clock every hour. Its distance around the clock is the circumference of its circle with radius 8 cm.

[tex]C = 2\pi r\\C= 2 \pi (8)\\C = 16 \pi\\C= 50.24[/tex]

This is the total distance around the clock in 1 hour. But how far does it travel in 10 minutes? 10 minutes is 1/6 of 60 minutes, a full hour. Multiply the circumference by 1/6 to find the distance in 10 minutes.

1/6 ( 50.24)= 8.37