Determine 19953

The distance between the tip of the minute hand and the center of the dial is 12 mm. Determine the distance traveled by the tip in 45 min. (draw a clock face and a minute hand and realize the distance it will cover in 45 min.)

Correct answer:

x =  56.5487 mm

Step-by-step explanation:

$$\begin{gathered} r=12\text{mm} \\ t=45\text{min} \\ h=60\text{min} \\ o=2\pi \cdot r=2\cdot 3.1416\cdot 12\doteq 75.3982\text{mm} \\ x=\frac{t}{h}\cdot o=\frac{45}{60}\cdot 75.3982=56.5487\text{mm} \end{gathered}$$

Try another example