Question

If a second hand starts at 12 and sweeps out 20 seconds, what is the measure of the angle between 12 and the 20-second mark? Give the measure in degrees.

Answer 1

the measure of the angle between the 12 and the 20-second mark is 240 degrees.

Explanation:

To find the measure of the angle between the 12 and the 20-second mark, we need to determine how much the second hand moves in 20 seconds.

In a clock, there are 360 degrees in a complete revolution, which represents 60 minutes or 12 hours. This means that every minute or hour mark on the clock is 30 degrees apart (360 degrees divided by 12). Additionally, there are 60 seconds in a minute, so the second hand moves 360 degrees in 60 seconds.

To find the measure of the angle between the 12 and the 20-second mark, we can calculate the proportion of the angle covered by the second hand in 20 seconds:

Angle = (360 degrees / 60 seconds) * 20 seconds

Angle = 12 * 20

Angle = 240 degrees

Therefore, the measure of the angle between the 12 and the 20-second mark is 240 degrees.

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