Calculate the angle between the hands of the clock
If the time is 10:00
Break out time components
H = 10
M = 00
Calculate ∠ between 12 and 10
There are 360° in a full circle (clock)
There are 12 hours
Each hour = 360/12 = 30°
Hour Formula
Hours = 30(H)
Hours = 30(10)
θh = 300
Minute Formula
Each minute is 1/60 of an hour.
Each hour represents 30 degrees.
Minutes Angle = M(30)/60 → M/2:
| θm = | M |
| 2 |
| θm = | 00 |
| 2 |
θm = 0
Calculate ∠ between the clock: Δθ
Δθ = |θh + θm|
Δθ = |300 + 0|
Δθ = |300|
Hands in opposite direction:
Clockwise + counter-clockwise = 360°
Subtract our clockwise angle from 360°
Angle 2 = 360 - 300°
Final Answer
Δθ = 300°
Angle 2 = 60°
Angle 2 = 60°
