# Clock Angle Calculator

## Enter Time or Angle in Degrees

Calculate the angle between the hands of the clock
If the time is 6:32

H = 6
M = 32

## Calculate ∠ between 12 and 6

There are 360° in a full circle (clock)
There are 12 hours
Each hour = 360/12 = 30°

Hours = 30(H)
Hours = 30(6)
θh = 180

## 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  = 32 2

θm = 16

Δθ = |θh + θm|
Δθ = |180 + 16|
Δθ = |196|

## Hands in opposite direction:

Clockwise + counter-clockwise = 360°
Subtract our clockwise angle from 360°
Angle 2 = 360 - 196°

Δθ = 196°
Angle 2 = 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
This calculator has 1 input.

### 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