find the distance that the tip of a six inch second hand of a clock travels in a year

Sure, I can help with that. Here are the steps:

1. First, we need to find the circumference of the circle that the second hand travels. The formula for the circumference of a circle is 2πr, where r is the radius. In this case, the radius of the circle is the length of the second hand, which is 6 inches. So, the circumference is 2π*6 = 12π inches.

2. Next, we need to find out how many times the second hand travels this distance in a year. There are 60 seconds in a minute, 60 minutes in an hour, 24 hours in a day, and 365 days in a year. So, the second hand travels the circumference of the circle 606024*365 = 31,536,000 times in a year.

3. Finally, to find the total distance that the second hand travels in a year, we multiply the circumference of the circle by the number of times the second hand travels this distance. So, the total distance is 12π*31,536,000 = 376,991,118 inches.

So, the tip of a six inch second hand of a clock travels approximately 376,991,118 inches in a year.