Angle swept by the minute hand at 5.32 pm:

To find the angle swept by the minute hand at 5.32 pm, we need to determine the position of the minute hand in relation to the 12 o'clock mark.

Determining the position of the minute hand:

At 12 o'clock, the minute hand is exactly pointing at the 12. As time progresses, the minute hand moves clockwise around the clock face.

Since there are 60 minutes in an hour and the minute hand completes a full revolution every hour, we can divide the 12-hour clock face into 60 equal parts. Each minute mark represents an angle of 360 degrees divided by 60, which is 6 degrees.

Calculating the angle swept:

To calculate the angle swept by the minute hand at 5.32 pm, we need to determine the number of minutes passed since 12 o'clock and multiply it by the angle covered in one minute.

Minutes passed since 12 o'clock = 5 hours (60 minutes in an hour) + 32 minutes = 332 minutes.

Angle covered in one minute = 6 degrees.

Angle swept by the minute hand = Number of minutes passed × Angle covered in one minute.

Angle swept = 332 minutes × 6 degrees = 1992 degrees.

Understanding the result:

The angle swept by the minute hand at 5.32 pm is 1992 degrees. This means that the minute hand has moved approximately 1992 degrees from the 12 o'clock position.

It is important to note that an angle of 360 degrees represents a full revolution, so the actual angle swept by the minute hand is 1992 degrees modulo 360 degrees. In other words, we can subtract 360 degrees multiple times until we obtain an angle less than 360 degrees.

Visual Representation:

To better understand the concept, refer to the following visual representation:

12 o'clock position:
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-----12-----

5.32 pm position:
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---12-------
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------5-------

The angle between the 12 o'clock position and the 5.32 pm position represents the angle swept by the minute hand.