Problema Solution

A clock's minute hand has a length of 2 inches. It takes 15 minutes for the minute hand to rotate clockwise 90 degrees. What is the distance traveled by the tip of the mite hand in a 15-minute period?

Answer provided by our tutors

let


d = the distance traveled


r = 2 in the radius of the circle


we need to find the 90/360 = 1/4 of the circumference of a circle with radius r = 2 in:


d = (90/360)* 2 * r * pi


d = 2pi


pi = 3.14


d = 6.28 in


the distance traveled by the tip of the minute hand in a 15-minute period is 2pi or 6.28 inches.