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?