Your class started at 12:12PM and ended at 12:50PM. What angle did the minute hand of a watch sweep through during the class?A. 168B. 132C. 228D. 153

Respuesta :

Answer:

The minute hand of the watch would sweep through an angle of;

[tex]228^{\circ}[/tex]

Explanation:

Given that the class started at 12:12 PM and ended at 12:50 PM.

The number of minutes used is;

[tex]50-12=38\text{ minutes}[/tex]

The minute hand makes a complete rotation in 60 minutes.

[tex]\begin{gathered} 60\text{ minutes }\rightarrow360^{\circ} \\ 1\text{ minutes }\rightarrow\frac{360^{\circ}}{60} \\ 38\text{ minutes }\rightarrow\frac{360^{\circ}}{60}\times38 \\ 38\text{ minutes }\rightarrow228^{\circ} \end{gathered}[/tex]

Therefore, the minute hand of the watch would sweep through an angle of;

[tex]228^{\circ}[/tex]