Calculate the angle between the hands of the clock

If the time is

6 :

32 Break out time components 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°

Hour Formula 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 = 16

Calculate ∠ between the clock: Δθ 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°

Final Answer See Answer 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
Example calculations for the Clock Angle Calculator Tags: Add This Calculator To Your Website