Clock Angle Calculator

<-- Enter Time on the Clock (3:45) or Angle in Degrees (85)

Calculate the angle between the hands of the clock if the time is 10:00

H = 10
M = 00

Calculate the Angle between 12 and the Hour hand 10:
θh =60H + M
2

θh =60(10) + 00
2

θh =600 + 00
2

θh =600
2

θh = 300

Calculate the Angle between 12 and the Minute hand 00:
θm = 6M
θm = 6(00)
θm = 0

Calculate angle between the clock: Δθ
Δθ = |θh - θm|
Δθ = |300 - 0|
Δθ = |300|
Δθ = 300°

Account for hands going in the opposite direction:
We would also consider the angle between the hands of the clock going counter-clockwise
Angle 2 = 360 - 300°
Angle 2 = 60°