Final answer:
The distance the tip of the minute hand will move in 45 minutes on a clock is approximately 85.5mm.
Step-by-step explanation:
To find the distance the tip of the minute hand will move in 45 minutes on a clock, we need to calculate the arc length. The formula to find the arc length of a circle is Arc Length = (angle in radians) x (radius).
In this case, the minute hand of the clock moves 360 degrees in 60 minutes, which is equivalent to ((2π)(r))/60 radians, where r is the radius of the clock. So, to find the arc length for 45 minutes, we substitute 45 for 60 in the formula and multiply it by the radius of the clock (54mm) to get the distance the tip of the minute hand will move.
Therefore, the distance the tip of the minute hand (54mm) will move in 45 minutes on a clock is approximately 85.5mm.