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?
Since there are 60 minutes in one complete revolution (360°), each minute is 6°
So, how many minutes passed?
132
To find the angle swept by the minute hand of a watch during the class, we need to calculate the difference between the positions of the minute hand at the start and end times.
First, let's calculate the position of the minute hand at 12:12 PM.
In 60 minutes, the minute hand completes one full revolution of 360 degrees. Thus, in 1 minute, it sweeps through an angle of 360/60 = 6 degrees.
12:12 PM is 12 minutes past the hour, so the minute hand is at 12*6 = 72 degrees.
Next, let's calculate the position of the minute hand at 12:50 PM.
50 minutes past the hour, the minute hand is at 50*6 = 300 degrees.
Now, we can find the difference between the two positions:
300 degrees - 72 degrees = 228 degrees.
Therefore, the minute hand of the watch sweeps through an angle of 228 degrees during the class.
To find the angle swept by the minute hand of a watch during the class, we need to determine the elapsed time in minutes.
Step 1: Convert the start time and end time to minutes.
The class started at 12:12PM, which is 12 hours and 12 minutes. Convert this to minutes: 12 * 60 + 12 = 732 minutes.
The class ended at 12:50PM, which is 12 hours and 50 minutes. Convert this to minutes: 12 * 60 + 50 = 770 minutes.
Step 2: Calculate the difference in minutes.
To find the duration of the class, subtract the start time from the end time: 770 - 732 = 38 minutes.
Step 3: Calculate the angle swept by the minute hand.
The minute hand of a clock completes a full revolution every 60 minutes (360 degrees).
To find the angle swept by the minute hand in 38 minutes, use the formula:
angle = (minutes elapsed / total minutes in one revolution) * 360 degrees.
angle = (38 / 60) * 360 = 228 degrees.
Therefore, the minute hand of the watch swept through an angle of 228 degrees during the class.