What angle (in degrees) does the minute hand describe in 3 hours 6 minutes? What angle (in degrees) does

| July 2, 2021 | education

What angle (in degrees) does the minute hand describe in 3 hours 6 minutes? What angle (in degrees) does the minute hand describe in 1 hour 50 minutes? What angle (in degrees) does the minute hand describe in 5 hours 42 minutes? What angle (in degrees) does the minute hand describe? hand in 1 hour 22 minutes

For the calculation, it should be taken into account that in 1 hour the hand makes a full revolution equal to 360o.

1) 3 hours 6 minutes:

3 * 360 + (6/60) * 360 = 1080 + 0.1 * 360 = 1080 + 36 = 1116o.

2) 1 hour 50 minutes:

1 * 360 + (50/60) * 360 = 360 + (5/6) * 360 = 360 + 5 * 60 = 360 + 300 = 660o.

3) 5 hours 42 minutes:

5 * 360 + (42/60) * 360 = 1800 + 0.7 * 360 = 1800 + 252 = 2052o.

4) 1 hour 22 minutes:

1 * 360 + (22/60) * 360 = 360 + (11/30) * 360 = 360 + 11 * 12 = 360 + 132 = 492o.

Answer: 1) 1116o; 2) 660o; 3) 2052o; 4) 492o.



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