Calculate the angle between the hands of the clock
If the time is
5 :
28 Break out time components H =
5 M =
28 Calculate ∠ between 12 and 5 There are 360° in a full circle (clock)
There are 12 hours
Each hour = 360/12 = 30°
Hour Formula Hours = 30(
H )
Hours = 30(
5 )
θh = 150
Minute Formula Each minute is 1/60 of an hour.
Each hour represents 30 degrees.
Minutes Angle = M(30)/60 → M/2:
θm = 14
Calculate ∠ between the clock: Δθ Δθ = |θh + θm|
Δθ = |150 + 14|
Δθ = |164|
Hands in opposite direction: Clockwise + counter-clockwise = 360°
Subtract our clockwise angle from 360°
Angle 2 = 360 - 164°
Final Answer See Answer Δθ = 164°
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
What 3 formulas are used for the Clock Angle Calculator?
θh = ½(60H + M)
θm = 6M
Δθ = |θh - θm|
For more math formulas, check out our
Formula Dossier
What 5 concepts are covered in the Clock Angle Calculator?
angle the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle. clock angle degree A unit of angle measurement, or a unit of temperature measurement hour Unit of time equal to 60 minutes minute Unit of time equal to 60 seconds
Example calculations for the Clock Angle Calculator Tags: Add This Calculator To Your Website 
