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syed514

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:

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

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