Respuesta :
The fraction of a circle through which the minute hand turned is 1/3
Fraction
From the question, we are to determine the fraction which the minute hand turned
On a circular 12 hour clock, the angle between two consecutive numbers is 30°
From the given information,
Ann started reading at 4:00 p.m and finished at 4:20 pm.
The minute hand would have move from 12 to 1 to 2 to 3 and then to 4.
This means the minute has turned 4 × 30° = 120°
The fraction of a circle the minute hand turned would be = The angle turned by the minute hand / Measure of the total angle
Measure of the total angle = 360°
∴ The fraction of a circle the minute hand turned = 120° / 360°
The fraction of a circle the minute hand turned = 1/3
Hence, the fraction of a circle through which the minute hand turned is 1/3
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