Calculate the angle between the hands of the clock
If the time is 7:35
Break out time components
H = 7
M = 35
Calculate ∠ between 12 and 7
There are 360° in a full circle (clock)
There are 12 hours
Each hour = 360/12 = 30°
Hour Formula
Hours = 30(H)
Hours = 30(7)
θh = 210
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 =
35
2
θm = 17.5
Calculate ∠ between the clock: Δθ
Δθ = |θh + θm|
Δθ = |210 + 17.5|
Δθ = |227.5|
Hands in opposite direction:
Clockwise + counter-clockwise = 360°
Subtract our clockwise angle from 360°
Angle 2 = 360 - 227.5°
Final Answer
Δθ = 227.5° Angle 2 = 132.5°
You have 2 free calculationss remaining
What is the Answer?
Δθ = 227.5° Angle 2 = 132.5°
How does the Clock Angle Calculator work?
Free Clock Angle Calculator - Calculate the angle on a clock between the hour and minute hands or how many times on the clock form an angle of (x°) between the minute and hour hand (backwards and forwards). Clock Angle Calculator This calculator has 1 input.
What 3 formulas are used for the Clock Angle Calculator?