Calculate the angle between the hands of the clock if the time is 9:20

H = 9 M = 20

Calculate the Angle between 12 and the Hour hand 9:

Since there are 360 degrees in a full circle (clock), and there are 12 hours, each hour represents 360/12 = 30 degrees So our formula is 30(H) So our formula is 30(9) θh = 270

Next, we know how each minute is 1/60 of an hour. Each hour represents 30 degrees. So our formula is M(30)/60 → M/2:

θm =

M

2

θm =

20

2

θm = 10

Calculate angle between the clock: Δθ

Δθ = |θh + θm| Δθ = |270 + 10| Δθ = |280|

Account for hands going in the opposite direction:

We would also consider the angle between the hands of the clock going counter-clockwise Since the clockwise and counter-clockwise angle add up to 360°, we subtract our clockwise angle from 360° Angle 2 = 360 - 280°

Δθ = 280° Angle 2 = 80°

Δθ = 280° Angle 2 = 80°

What is the Answer?

Δθ = 280° Angle 2 = 80°

How does the Clock Angle Calculator work?

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?