Find the angle in radians between the hands of a clock at 3:30 A.M.
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Answers
Given : Time in clock 3:30 A.M
To find : angle in radians between the hands of a clock
Solution:
Minute Hands 360° in 60 minutes
Hence 6° in Minutes
=> Minute hand moved 180° in 30 minutes
Hour Hand moves 360° in 12 hrs
=> 30° in 1 hr
=> 0.5° in 1 Mins
=> 0.5 * 30 = 15°
at 3 Hour hand was already at 90°
90° + 15° = 105°
Hour hand at 105°
Minute Hand at 180°
Angle between the hands of a clock at 3:30 = 180 -105 = 75°
180° = π
1° = π/180
75° = 75π/180
= 5π/12
5π/12 is the angle in radians between the hands of a clock at 3:30 A.M
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