Question

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

Answer 1

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

`228^(\circ)`

Step-by-step explanation:

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

The number of minutes used is;

`50-12=38\text{ minutes}`

The minute hand makes a complete rotation in 60 minutes.

`\begin{gathered} 60\text{ minutes }\rightarrow360^(\circ) \\ 1\text{ minutes }\rightarrow(360^(\circ))/(60) \\ 38\text{ minutes }\rightarrow(360^(\circ))/(60)*38 \\ 38\text{ minutes }\rightarrow228^(\circ) \end{gathered}`

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

`228^(\circ)`