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Gennadij [26K]
3 years ago
8

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

?
Advanced Placement (AP)
1 answer:
kifflom [539]3 years ago
7 0

Answer:

The distance traveled is: 96.29ft

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 = \frac{C}{60\ minutes}

So, the distance traveled is:

d = Rate * t

d = \frac{C}{60\ minutes} * t

d = \frac{144.44ft}{60\ minutes} * 40\ minutes

d = \frac{144.44* 40ft}{60}

d = \frac{5777.6ft}{60}

d = 96.29ft

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