Answer:
To calculate the distance traveled by the tip of the minute hand of a clock, we need to determine the circumference of the circle formed by the clock's face. The circumference of a circle can be found using the formula:
Circumference = 2 * π * radius
Given that the clock has a diameter of 12 inches, the radius would be half of that, which is 6 inches.
Circumference = 2 * 3.14 * 6
Circumference = 37.68 inches
Since the minute hand travels the entire circumference of the clock's face in 60 minutes, we can calculate the distance traveled in 25 minutes by setting up a proportion:
Distance traveled in 25 minutes / Distance traveled in 60 minutes = 25 minutes / 60 minutes
Let's solve for the distance traveled in 25 minutes:
Distance traveled in 25 minutes = (25 minutes / 60 minutes) * 37.68 inches
Distance traveled in 25 minutes = (25/60) * 37.68 inches
Distance traveled in 25 minutes ≈ 15.7 inches
Therefore, the tip of the minute hand of a 12-inch diameter clock would move approximately 15.7 inches in 25 minutes.
Explanation: