The minute hand of a clock is 8 inches long. To the nearest tenth of an inch, how far does the tip of the minute hand travel as the time progresses from 12:00 to 12:25.

The tip of the minute hand travels inches

The tip of the minute hand travels 20.9 inches.

Step-by-step explanation:

We are given that the minute hand of a clock is 8 inches long. And we have to find that how far does the tip of the minute hand travel as the time progresses from 12:00 to 12:25.

So, firstly we will find the circumference of circle;

       Circumference of circle (C)  =     {where r is radius of circle}

                                                      =     {given r = 8 inches long}

                                                      =  

Now, as we know that the minute hands completes the full circle in 60 minutes, therefore, the length of the arc between time 12:00 to 12:25 represents    which is    of the circumference, that means;

The length of arc from time 12:00 to 12:25  =  

                                                                       =  

                                                                       =   = 6.67

Now, assuming value of = 3.14; so 6.67 =   = 20.9 inches (in nearest tenth)

Hence, the tip of the minute hand travels 20.9 inches.