What angle in degrees does the hour hand describe in 3 hours and 6 minutes?

First, at the very beginning, it should be mentioned that in 1 hour the hand makes a full revolution, which in degree terms has a value of 360o.

Secondly, let’s determine what angle the arrow makes in 6 minutes. Let this angle be xo. Then let’s make the proportion:

60 min – 360o;

6 minutes – xo.

Let us express from the proportion x and calculate it:

x = (360 * 6) / 60 = 360/60 * 6 = 6 * 6 = 36o.

Therefore, in just 3 hours 6 minutes, the arrow will describe the following angle:

a = 360o * 3 + 36o = 1080o + 36o = 1116o.

Answer: 1116o.