# Clock hand angle calculator

## World's simplest time tool

With this browser-based application, you can find the angle that's formed by an analog clock's hour and minute hands. You can enter any time value as the input and you'll get the angle in degrees or radians in the output. You can also include the seconds hand in the calculation, adjust the numerical precision of the angle, and add an angle unit suffix to the result. Created by computer nerds from team Browserling.

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Clock hand angle calculator tool
What is a clock hand angle calculator?

This is a quick online utility for calculating the angle between the hours hand and the minutes hand of a round clock. The program takes any time in HH:MM or HH:MM:SS format as the input and prints the angle in the output. For example, for the time 15:00 (3pm), the hour hand points straight east and the minute hand points straight north, creating a 90-degree angle between both hands. And for example, the time 06:00 (6am) creates a straight line so the angle is 180 degrees (or pi radians). You can also enter multiple times into the input and get angles for each value. The times may consist of only hours and minutes (HH:MM) or they can also have a seconds component (HH:MM:SS). For example, if a clock time also has a seconds component, then 16:20:06 will create a 9.45-degree angle. By default, our algorithm calculates the angle in degrees but it also supports radians. You can switch between both angle calculation modes in the options. Additionally, you can adjust the angle precision by specifying the number of digits after the decimal point. To visually see the angle unit, you can also turn on a checkbox to display the word "degrees" or "radians" after the angle value. Timeabulous!

Clock hand angle calculator examples
Click to use

Find Clock Hand Angle in Degrees

In this example, we calculate the angle between the hour and minute hands for four different clock times. We specify the time values without the seconds part and get the exact values of angles expressed in degrees.

15:00
6:00
16:30
00:01

90 degrees
180 degrees
45 degrees
5.5 degrees

**Required options**

Print the angle between the hour
and minute hands in degrees.

Set the precision of angle
calculations.

Display the word "degrees"
or "radians" next to each
calculated angle.

Difference Between Clock Hands in Radians

In this example, we enter a bunch of input times and for each time we find the angle between hours and minutes in radians. Recall that radians are calculated using the formula "radians = degrees × π ÷ 180°". The time 18:00 (6 pm) has 180 degrees and in radians, it's pi – 3.14159. As radians have a lot of decimal digits, we round all angles to just 5 digits after the decimal point and output them together with the word "radians".

00:00
20:40
18:00
2:00 pm
11:11

0 radians
0.34907 radians
3.14159 radians
1.0472 radians
1.57952 radians

**Required options**

Print the angle between the hour
and minute hands in radians.

Set the precision of angle
calculations.

Display the word "degrees"
or "radians" next to each
calculated angle.

Timers with Seconds

In this example, we're working with timer values that include seconds and are written in HH:MM:SS formats. When calculating the difference between the hour and minute hands, the program also takes into account the position of the seconds hand. Each second adds an additional angle of 0.0917 degrees to the total angle and the results have maximum accuracy. The angles in the output have degree units and are rounded to 4 decimal digits.

00:00:01
05:05:05
10:20:30
22:00:22

0.0917
122.0417
172.75
62.0167

**Required options**

Print the angle between the hour
and minute hands in degrees.

Set the precision of angle
calculations.

Display the word "degrees"
or "radians" next to each
calculated angle.

Pro tips
Master online time tools

You can pass input to this tool via

__?input__query argument and it will automatically compute output. Here's how to type it in your browser's address bar. Click to try!
https://onlinetimetools.com/calculate-clock-hand-angle

__?input__=15%3A00%0A6%3A00%0A16%3A30%0A00%3A01&use-degrees=true&precision=1&print-angle-units=true
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