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calculate average time
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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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See Pricing and Plans

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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See Examples
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Tool Options

Angle Units

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

Angle Precision

Set the precision of angle calculations.

Spelled Angle Units

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

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!

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 try!
click me

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
These options will be used automatically if you select this example.
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.
click me

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
These options will be used automatically if you select this example.
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.
click me

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
These options will be used automatically if you select this example.
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://onlinetools.com/time/calculate-clock-hand-angle?input=15%3A00%0A6%3A00%0A16%3A30%0A00%3A01&use-degrees=true&precision=1&print-angle-units=true

All Time Tools

Didn't find the tool you were looking for? Let us know what tool we are missing and we'll build it!
Draw a Memento Mori Calendar
Quickly visualize your life in weeks or months.
Draw an Analog Clock
Quickly draw a wall clock that shows a particular time.
Draw a Digital Clock
Quickly draw an electronic clock that shows a particular time.
Draw a Monthly Calendar
Quickly draw a monthly calendar for any month of the year.
Generate Magic Clock Times
Quickly print a list of neat-looking clock times (such as 10:11:12).
Generate Magic Calendar Dates
Quickly print a list of neat-looking calendar dates (such as 2055-05-05).
Generate Palindromic Clock Times
Quickly print a list of symmetric clock times (such as 05:22:50).
Generate Palindromic Calendar Dates
Quickly print a list of symmetric dates (such as 2020-02-02).
Convert Time to Seconds
Quickly convert clock time in H:M:S format to seconds.
Convert Seconds to Time
Quickly convert seconds to clock time in H:M:S format.
Convert 24hr Clock to 12hr
Quickly convert time in 24 hour format to 12 hour format.
Convert 12hr Clock to 24hr
Quickly convert time in 12 hour format to 24 hour format.
Find Seconds Since Midnight
Quickly find how many seconds have passed since midnight.
Find Seconds Till Midnight
Quickly find how many seconds are left till midnight.
Find Time Difference
Quickly find the difference between two clock times.
Find Date Difference
Quickly find the difference between two calendar dates.
Find Age Difference
Quickly find the age difference between two or more people.
Increment a Clock Time
Quickly add hours, minutes, and seconds to the given time.
Decrement a Clock Time
Quickly subtract hours, minutes, and seconds from the given time.
Increment a Calendar Date
Quickly add days, months, and years to the given date.
Decrement a Calendar Date
Quickly subtract days, months, and years to from the given date.
Format a Clock Time
Quickly change the current time format to any new format.
Format a Calendar Date
Quickly change the current date format to any new format.
Round a Clock Time
Quickly round the given clock time up or down.
Round a Calendar Date
Quickly round the given calendar date up or down.
Truncate a Clock Time
Quickly drop seconds and minutes from a clock time.
Truncate a Calendar Date
Quickly drop days and months from a calendar date.
Sort Clock Times
Quickly sort clock times in ascending or descending order.
Sort Calendar Dates
Quickly sort calendar dates in ascending or descending order.
Sort Time Intervals
Quickly sort time intervals by their start time or length.
Sort Date Intervals
Quickly sort date intervals by their start date or length.
Validate a Clock Time
Quickly check if the given clock time is valid.
Validate a Calendar Date
Quickly check if the given calendar date is valid.
Convert Days to Hours
Quickly find how many hours are in the given days.
Convert Hours to Days
Quickly find how many days are in the given hours.
Find a Zodiac Sign by Date
Quickly find the astrological sign by the birthday or any date.
Print Dates of All Zodiac Signs
Quickly print a list of the dates of all astrological signs.
Calculate Average Time
Quickly find the average value of multiple clock times.
Calculate Average Date
Quickly find the average value of multiple calendar dates.
Generate Random Clock Times
Quickly generate a list of random clock times.
Generate Random Dates
Quickly generate a list of random calendar dates.
Generate Custom Clock Times
Quickly create a list of clock times that match your criteria.
Generate Custom Dates
Quickly generate a list of calendar dates that match your criteria.
Split Time into Intervals
Quickly split the given time period into multiple intervals.
Split Date into Intervals
Quickly split the given date period into multiple intervals.
Generate a Time Sequence
Quickly generate increasing or decreasing clock times.
Generate a Date Sequence
Quickly generate increasing or decreasing calendar dates.
Find Leap Years
Quickly print a list of all leap years.
Find Common Years
Quickly print a list of all common years.
Check If a Year Is a Leap Year
Quickly test if the given year is a leap year.
Check If a Year Is a Common Year
Quickly test if the given year is a common year.
Convert Cat's Age to Human Years
Quickly find how old a cat would be if it was a human.
Convert Human's Age to Cat Years
Quickly find how old a human would be if he/she was a cat.
Convert Dog's Age to Human Years
Quickly find how old a dog would be if it was a human.
Convert Human's Age to Dog Years
Quickly find how old a human would be if it was a dog.
Convert Gregorian Calendar to Julian Calendar
Quickly convert a modern Gregorian date to a Julian date.
Convert Julian Calendar to Gregorian Calendar
Quickly convert an ancient Julian date to a Gregorian date.
Convert a Date to a Julian Day
Quickly calculate the Julian day number for any calendar date.
Convert a Julian Day to a Date
Quickly convert the Julian day to a regular calendar date.
Find Easter Dates
Quickly print a list of all Easter dates for all years.
Convert UNIX Time to Human Time
Quickly convert a UNIX Epoch time to a human-readable time.
Convert Human Time to UNIX Time
Quickly convert human-readable time to a UNIX Epoch time.
Generate a UNIX Time Sequence
Quickly generate increasing or decreasing UNIX timestamps.
Generate Random UNIX Time
Quickly generate one or more random UNIX Epoch times.
Convert Regular Time to Military Time
Quickly convert a HH:MM:SS clock to a military HHMM clock.
Convert Military Time to Regular Time
Quickly convert a military clock HHMM to a HH:MM:SS clock.
Spell a Clock Time
Quickly write a clock time in text format (as English text).
Spell a Calendar Date
Quickly write a calendar date in text format (as English text).
Add Fuzziness to Clock Times
Quickly add slight perturbations to the given clock times.
Add Fuzziness to Calendar Dates
Quickly add slight perturbations to the given calendar dates.
Find Day of the Week
Quickly find what day of the week the given calendar date falls on.
Find Day of the Year
Quickly find what day of the year the given calendar date falls on.
Find Week of the Year
Quickly find what week of the year the given calendar date falls on.
Find Date by Day of the Year
Quickly calculate the calendar date from a day number of a year.
Calculate Clock Hand Angle
Quickly find the angle between the hour hand and minute hand.
Set Clock Hand Angle
Quickly print a list of all clock times with a specific hand angle.
Find a Specific Day
Quickly print all dates when a specific day happens.
Find Friday the 13th
Quickly find all Fridays that fall on the 13th day of the month.
Find July the 4th
Quickly create a list of all Independence Day dates.
Find the Christmas Day
Quickly create a list of all Christmas Day dates.
Find the New Year's Day
Quickly create a list of all New Year dates.
Find the Thanksgiving Day
Quickly create a list of all Thanksgiving dates.
Analyze a Clock Time
Quickly show useful information about a particular clock time.
Analyze a Calendar Date
Quickly show useful information about a particular calendar date.
Visualize Time Intervals
Quickly draw a timeline of multiple time intervals.
Visualize Date Intervals
Quickly draw a visualization of multiple date intervals.
Mirror a Clock Time
Quickly find the time a clock shows if you look at it in a mirror.
Convert Time Between Timezones
Quickly convert time and date from one timezone to another.
Convert Time Between Countries
Quickly convert time and date from one country to another.
Find Season by Date
Quickly print the season (winter, spring, summer, autumn) by date.

Coming Soon

These time tools are on the way!
Draw a Binary Clock

Draw a binary clock that shows time in base two.

Draw a Salvador Dali Clock

Draw a clock in Salvador Dali style showing custom time.

Draw a Weird Clock

Draw a weird-looking clock that shows a particular time.

Draw a Pi Clock

Draw a π clock with π hours in a day.

Draw a 360° Clock

Draw a 360° clock with 360 degrees in a day.

Animate an Analog Clock

Create a GIF animation of an analog clock.

Animate a Digital Clock

Create a GIF animation of a digital clock.

Animate a Broken Clock

Create a GIF animation of a clock that's broken.

Draw a Daily Calendar

Draw a daily calendar for a single day.

Draw a Weekly Calendar

Draw a weekly calendar for any week of the month.

Draw a Yearly Calendar

Draw a yearly calendar for the entire year.

Draw a Lunar Calendar

Draw a calendar that shows moon phases.

Draw a Solar Calendar

Draw a calendar that shows the seasons and Sun's position.

Draw a Sunrise and Sunset Calendar

Draw a calendar that shows when the Sun rises and sets.

Draw a Moonrise and Moonset Calendar

Draw a calendar that shows when the Moon rises and sets.

Create an Animated Timer

Draw an animation that counts down (or up) time.

Animate an Hourglass

Create a GIF animation of a sand clock.

Draw an Infinite Spiral Clock

Animate a timeless clock that goes in an infinite spiral.

Draw Time as a Pie Chart

Visualize the given clock time as a pie chart.

Draw Date as a Pie Chart

Visualize the current year as a pie chart.

Draw Time as a Bar Chart

Visualize the given clock time as a bar chart.

Draw Date as a Bar Chart

Visualize the current year as a bar chart.

Draw Time as a Pixel Wall

Visualize the given clock time as a pixel wall (1px = 1sec).

Draw Date as a Pixel Wall

Visualize the current year as a pixel wall (1px = 1day).

Draw Time as Bubbles

Visualize the given clock time as bubbles.

Draw Date as Bubbles

Visualize the current year as bubbles.

Draw a Time Arrow

Visualize the given clock time as an arrow.

Convert Time to Percentage

Quickly calculate time passed and left in the current day as pct.

Convert Date to Percentage

Quickly calculate time passed and left in the current year as pct.

Convert Time to Binary Time

Convert regular clock time to binary clock time (bintime).

Convert Date to Binary Date

Quickly regular calendar date to binary date (bindate).

Convert Time to Decimal Time

Convert regular clock time to decimal clock time (dectime).

Convert Date to Decimal Date

Quickly regular calendar date to decimal date (decdate).

Convert Time to Hex Time

Convert regular clock time to hexadecimal time (hextime).

Convert Date to Hex Date

Quickly regular calendar date to hexadecimal date (hexdate).

Animate Moon's Phases

Create a GIF animation of the Moon for a particular month.

Animate Moon's Orbit

Create an animation of the Moon orbiting the Earth.

Animate Mercury's Orbit

Create a 88 day animation of the Mercury orbiting the Sun.

Animate Venus's Orbit

Create a 225 day animation of the Venus orbiting the Sun.

Animate Earth's Orbit

Create a 365 day animation of the Earth orbiting the Sun.

Animate Mars's Orbit

Create a 687 day animation of the Mars orbiting the Sun.

Animate Jupiter's Orbit

Create a 4,330 day animation of the Jupiter orbiting the Sun.

Animate Saturn's Orbit

Create a 10,756 day animation of the Saturn orbiting the Sun.

Animate Uranus's Orbit

Create a 30,687 day animation of the Uranus orbiting the Sun.

Animate Neptune's Orbit

Create a 60,190 day animation of the Neptune orbiting the Sun.

Animate Pluto's Orbit

Create a 90,560 day animation of the Pluto orbiting the Sun.

Animate Solar System

Create an animation of all planets in the Solar System.

Animate Mars's Moons

Create an animation of Phobos and Deimos orbiting Mars.

Animate Jupiter's Moons

Animate Io, Europa, Ganymede, Callisto orbiting Jupiter.

Animate Saturn's Moons

Animate Titan, Rhea, Iapetus, Enceladus orbiting Saturn.

Animate Uranus's Moons

Animate Titania, Oberon, Umbriel, Ariel, Miranda orbiting Uranus.

Animate Neptune's Moons

Animate Triton, Nereid, and Proteus orbiting Neptune.

Animate Pluto's Moons

Animate Charon, Nix, Hydra, Kerberos, Styx orbiting Pluto.

Find When Planets Align

Find dates when two or more planets align in a straight line.

Find Dates of Solar Eclipse

Find dates when the solar eclipse happens.

Find Dates of Lunar Eclipse

Find dates when the lunar eclipse happens.

Find Your Age on Other Planets

Calculate your age based on the orbital period of other planets.

Create a Time Matrix

Represent a clock time as a matrix.

Create a Date Matrix

Represent a calendar date as a matrix.

Create a Time Vector

Represent a clock time as a vector.

Create a Date Vector

Represent a calendar date as a vector.

Visualize Time Series

Draw a time series chart.

Find Overlapping Times

Given a bunch of time intervals, find overlapping intervals.

Generate Overlapping Times

Generate a bunch of overlapping time intervals.

Generate Non-overlapping Times

Generate a bunch of non-overlapping time intervals.

Generate Random Time Intervals

Generate random clock time intervals.

Find Overlapping Dates

Given a bunch of date intervals, find overlapping intervals.

Generate Overlapping Dates

Generate a bunch of overlapping date intervals.

Generate Non-overlapping Dates

Generate a bunch of non-overlapping date intervals.

Generate Random Date Intervals

Generate random calendar date intervals.

Swap Clock Hands

Swap a clock's hour hand with minute hand.

Reverse Clock Time

Find the reverse of the given clock time.

Invert Clock Time

Find the inverse of the given clock time.

Shift Clock Time

Shift the given clock time by any time interval.

Change Clock Scale

Change the clock scale from 24 hours to any other hours.

Generate Valid Clock Times

Generate a list of valid clock times (for testing).

Generate Invalid Clock Times

Generate a list of invalid clock times (for testing).

Generate Valid Calendar Dates

Generate a list of valid calendar dates (for testing).

Generate Invalid Calendar Dates

Generate a list of invalid calendar dates (for testing).

Add Errors to Clock Times

Create errors in the given clock times (for testing).

Add Errors to Calendar Dates

Create errors in the given calendar dates (for testing).

Convert Date to Seconds

Convert a calendar date to seconds.

Convert Seconds to Date

Convert seconds to a calendar date.

Convert English to Crontab

Create a crontab expression from human language.

Convert Crontab to English

Rewrite a crontab entry into human language.

Find Week of the Month

Quickly find the week of the month of a calendar date.

Find Days Since the Start of Year

Quickly find how many days have passed since start of the year.

Find Days Till the End of Year

Quickly find how many days are left till the end of the year.

Find Days Till a Specific Date

Quickly find how many days are left till a specific date.

Convert Seconds To Minutes

Find how many minutes are in the given seconds.

Convert Seconds To Hours

Find how many hours are in the given seconds.

Convert Seconds to Days

Find how many days are in the given seconds.

Convert Seconds to Weeks

Find how many weeks are in the given seconds.

Convert Seconds to Months

Find how many months are in the given seconds.

Convert Seconds to Years

Find how many years are in the given seconds.

Convert Minutes to Seconds

Find how many seconds are in the given minutes.

Convert Minutes To Hours

Find how many hours are in the given minutes.

Convert Minutes to Days

Find how many days are in the given minutes.

Convert Minutes to Weeks

Find how many weeks are in the given minutes.

Convert Minutes to Months

Find how many months are in the given minutes.

Convert Minutes to Years

Find how many years are in the given minutes.

Convert Hours To Seconds

Find how many seconds are in the given hours.

Convert Hours to Minutes

Find how many minutes are in the given hours.

Convert Hours to Weeks

Find how many weeks are in the given hours.

Convert Hours to Months

Find how many months are in the given hours.

Convert Hours to Years

Find how many years are in the given hours.

Convert Days to Seconds

Find how many seconds are in the given days.

Convert Days to Minutes

Find how many minutes are in the given days.

Convert Days to Weeks

Find how many weeks are in the given days.

Convert Days to Months

Find how many months are in the given days.

Convert Days to Years

Find how many years are in the given days.

Convert Weeks to Seconds

Find how many seconds are in the given weeks.

Convert Weeks To Minutes

Find how many minutes are in the given weeks.

Convert Weeks To Hours

Find how many hours are in the given weeks.

Convert Weeks to Days

Find how many days are in the given weeks.

Convert Weeks to Months

Find how many months are in the given weeks.

Convert Weeks to Years

Find how many years are in the given weeks.

Convert Months to Seconds

Find how many seconds are in the given months.

Convert Months To Minutes

Find how many minutes are in the given months.

Convert Months To Hours

Find how many hours are in the given months.

Convert Months to Days

Find how many days are in the given months.

Convert Months to Weeks

Find how many weeks are in the given months.

Convert Months to Years

Find how many years are in the given months.

Convert Years to Seconds

Find how many seconds are in the given years.

Convert Years To Minutes

Find how many minutes are in the given years.

Convert Years To Hours

Find how many hours are in the given years.

Convert Years to Days

Find how many days are in the given years.

Convert Years to Weeks

Find how many weeks are in the given years.

Convert Years to Months

Find how many months are in the given years.

Convert a Bird's Age to Human Years

Find how old a human would be if he/she was a bird.

Convert a Human's Age to Bird Years

Find how old a bird would be if it was a human.

Convert Earth Time to Mars Time

Convert clock time on Earth to clock time on Mars.

Convert Mars Time to Earth Time

Convert clock time on Mars to clock time on Earth.

Convert Earth Date/Time to Stardate

Convert Earth time to Star Trek's stardate.

Convert Stardate to Earth Date/Time

Convert Star Trek's stardate to Earth time.

Generate Equal H:M:S Times

Print a list of clock times with hours equal mins equal secs.

Generate Equal Y-M-D Dates

Print a list of calendar dates with years equal months equal days.

Set Straight Clock Hands

Print a list of all clock times when hands are in a straight line.

Normalize Clock Times

Given clock times in various formats, convert them to one format.

Normalize Calendar Dates

Given calendar dates in various formats, make them the same format.

Rotate Clock Times

Cyclically shift HH, MM, SS time parts to the left or right.

Rotate Calendar Dates

Cyclically shift YYYY, MM, DD date parts to the left or right.

Freeform Time Calculator

Perform freeform clock time arithmetics.

Freeform Date Calculator

Perform freeform calendar date arithmetics.

Calculate Clock Sum

Find the sum of hours plus minutes plus seconds.

Calculate Calendar Sum

Find the sum of years plus months plus days.

Find Clock Sum

Find clock hand position so that hr + min + sec equals your value.

Find Calendar Sum

Find calendar date so that year + months + day equals your value.

Generate Clock Emojis

Print all clock icons from 00:00 to 24:00.

Create Zalgo Time

Generate date and time that only Zalgo can understand.

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Created with love by

We're Browserling — a friendly and fun cross-browser testing company powered by alien technology. At Browserling our mission is to make people's lives easier, so we created this collection of time and date tools. All our tools share the same user interface, so as soon as you learn how to use one of the tools, you'll be a master of all tools. Behind the scenes, our time and date tools are actually powered by our web developer tools that we created over the last couple of years. Check them out!

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