Answer:
270 degrees
Explanation:
There are 60 minutes on a clock face, and the minute hand of a clock makes one complete revolution around the clock face in 60 minutes. This means that the minute hand turns through the angle of 360 degrees in 60 minutes.
The time from 3:30 P.M. to 4:15 P.M. is 45 minutes.
So, during this time, the minute hand of the clock turns through a fraction of a circle equal to:
Fraction of a circle = (angle turned by the minute hand) / (angle for a complete circle)
= (45 minutes) / (60 minutes)
= 3/4
Therefore, the minute hand of the clock turned through 3/4 of a circle during this time.
To find the number of degrees turned by the minute hand, we can multiply the fraction of a circle turned by the total number of degrees in a complete circle:
Degrees turned by the minute hand = (Fraction of a circle turned) x (360 degrees)
= (3/4) x (360 degrees)
= 270 degrees
Therefore, the minute hand of the clock turned through 270 degrees during this time.