Clock Angle at %207:35

<-- 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 %207:35

H = %207
M = 35

Calculate the Angle between 12 and the Hour hand %207:
Since there are 360 degrees in a full circle (clock), and there are 12 hours, each hour represents 360/12 = 30 degrees
So our formula is 30(H)
So our formula is 30(%207)
θh = 0

Next, we know how each minute is 1/60 of an hour. Each hour represents 30 degrees. So our formula is M(30)/60 → M/2:
θm  =  M
  2

θm  =  35
  2

θm = 17.5

Calculate angle between the clock: Δθ
Δθ = |θh + θm|
Δθ = |0 + 17.5|
Δθ = |17.5|
Δθ = 17.5°

Account for hands going in the opposite direction:
We would also consider the angle between the hands of the clock going counter-clockwise
Since the clockwise and counter-clockwise angle add up to 360°, we subtract our clockwise angle from 360°
Angle 2 = 360 - 17.5°
Angle 2 = 342.5°

Clock Angle Video