Question

The famous clock tower in London has a minute hand that is 14 feet long. How far does the tip of the minute hand of Big Ben travel in 35 minutes?

Answer 1

Think of the clock's face as a circle. You've been given the length of the minute hand: that tells you the radius of the circle. Use that to work out its circumference (I'm sure you already know the formula for that), then - as 35 minutes is seven-twelfths of 60 minutes - work out what seven-twelfths of that circumference is.

Answer 2

Answer:

The tip of the minute hand of Big Ben travel in 35 minutes by 51.31 ft

Explanation:

Angle rotated by minute hand in 1 hour = 360⁰

Angle rotated by minute hand in 60 minutes = 360⁰

Angle rotated by minute hand in 1 minute = 6⁰

Angle rotated by minute hand in 35 minutes = 35 x 6 = 210⁰

Perimeter of 1 full circle = 2πr

Perimeter of 360⁰ circle = 2πr

$\texttt{Perimeter of }210^0 \texttt{ arc =}2\pi r\times \frac{210}{360}$

Here r = 14 feet

Substituting

$\texttt{Perimeter of }210^0 \texttt{ arc =}2\pi \times 14\times \frac{210}{360}=51.31ft$

The tip of the minute hand of Big Ben travel in 35 minutes by 51.31 ft