Calculate the angle between the hands of the clock
If the time is 9:20
Break out time components
H = 9
M = 20
Calculate ∠ between 12 and 9
There are 360° in a full circle (clock)
There are 12 hours
Each hour = 360/12 = 30°
Hour Formula
Hours = 30(H)
Hours = 30(9)
θh = 270
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 =
20
2
θm = 10
Calculate ∠ between the clock: Δθ
Δθ = |θh + θm|
Δθ = |270 + 10|
Δθ = |280|
Hands in opposite direction:
Clockwise + counter-clockwise = 360°
Subtract our clockwise angle from 360°
Angle 2 = 360 - 280°
Final Answer
Δθ = 280° Angle 2 = 80°
What is the Answer?
Δθ = 280° Angle 2 = 80°
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?