Calculate the angle between the hands of the clock
If the time is 2:40
Break out time components
H = 2
M = 40
Calculate ∠ between 12 and 2
There are 360° in a full circle (clock)
There are 12 hours
Each hour = 360/12 = 30°
Hour Formula
Hours = 30(H)
Hours = 30(2)
θh = 60
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 = | 40 |
| 2 |
θm = 20
Calculate ∠ between the clock: Δθ
Δθ = |θh + θm|
Δθ = |60 + 20|
Δθ = |80|
Hands in opposite direction:
Clockwise + counter-clockwise = 360°
Subtract our clockwise angle from 360°
Angle 2 = 360 - 80°
Final Answer
Δθ = 80°
Angle 2 = 280°
Angle 2 = 280°
What is the Answer?
Δθ = 80°
Angle 2 = 280°
Angle 2 = 280°
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.
This calculator has 1 input.
What 3 formulas are used for the Clock Angle Calculator?
θh = ½(60H + M)
θm = 6M
Δθ = |θh - θm|
θm = 6M
Δθ = |θh - θm|
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
