Question

The clock face on London’s Big Ben measures 23 feet across. How far does the tip of the minute hand travel between 6:50 and 7:30?

Answer 1

The distance traveled is: 96.29ft

Step-by-step explanation:

Given

`r = 23ft` --- The minute hand represents the radius

Required

Distance traveled between 6:50 and 7:30

First, calculate the circumference (C) of the clock

`C = 2\pi r`

`C = 2*3.14*23`

`C = 144.44ft`

Calculate the time difference between 6:50 and 7:30

`t = 7:30 - 6:50`

`t = 40\ minutes`

Next, calculate the rate per 60 minutes:

`Rate = (C)/(60\ minutes)`

So, the distance traveled is:

`d = Rate * t`

`d = (C)/(60\ minutes) * t`

`d = (144.44ft)/(60\ minutes) * 40\ minutes`

`d = (144.44* 40ft)/(60)`

`d = (5777.6ft)/(60)`

`d = 96.29ft`