2. Minute hand moves 6° per minute: "+m+" * 6 = "+mAngle+"°
3. Difference: |"+hAngle+" – "+mAngle+"| = "+diff+"°";}}else if(type==='diff'){var sec1=toSeconds(h1,m1,s1,p1);var sec2=toSeconds(document.getElementById('h2').value,document.getElementById('m2').value,document.getElementById('s2').value,document.getElementById('ampm2').value);var diff=sec2-sec1;if(diff<0)diff+=86400;var hrs=Math.floor(diff/3600);var mins=Math.floor((diff%3600)/60);var secs=diff%60;res.innerHTML="Time Duration: "+hrs+" hours, "+mins+" minutes, "+secs+" seconds";if(document.getElementById('steps').checked){details.style.display='block';details.innerHTML="1. Convert Start Time to total seconds: "+sec1+"s
2. Convert End Time to total seconds: "+sec2+"s
3. Subtract: "+sec2+" – "+sec1+" = "+diff+"s";}}else if(type==='add'){var sec1=toSeconds(h1,m1,s1,p1);var h2=parseInt(document.getElementById('h2').value)||0;var m2=parseInt(document.getElementById('m2').value)||0;var s2=parseInt(document.getElementById('s2').value)||0;var secOffset=(h2*3600)+(m2*60)+s2;var op=document.getElementById('operation').value;var finalSec=op==='add'?(sec1+secOffset):(sec1-secOffset);while(finalSec<0)finalSec+=86400;finalSec=finalSec%86400;res.innerHTML="Resulting Clock Time: "+formatTime(finalSec);if(document.getElementById('steps').checked){details.style.display='block';details.innerHTML="1. Start time in seconds: "+sec1+"s
2. Offset in seconds: "+secOffset+"s
3. Final seconds: "+finalSec+"s";}}}
Calculator Use
The clock calculator is a versatile tool designed to solve common time-related mathematical problems. Whether you are trying to figure out how many hours are between two specific times, what the angle of a clock face is at 4:15, or what time it will be 5 hours and 30 minutes from now, this calculator provides instant and accurate results.
Time math can be tricky because it operates on a base-60 system (sexagesimal) rather than the standard base-10 (decimal) system we use for most other calculations. This clock calculator handles the carries and borrows automatically so you don't have to.
- Time Difference
- Calculates the exact duration between a start time and an end time. Ideal for payroll, flight durations, or project tracking.
- Clock Angle
- Determines the internal angle between the hour and minute hands on an analog clock face.
- Add/Subtract Time
- Allows you to input a clock time and add or subtract a specific amount of hours, minutes, and seconds to find the new clock time.
How It Works
Behind the scenes, the clock calculator uses different formulas depending on the mode selected. For time durations, all inputs are converted to a single unit (seconds) to perform arithmetic before being converted back into a human-readable format.
Clock Angle Formula: θ = |0.5 × (60 × H + M) – 6 × M|
- H: The hour (normalized to a 12-hour clock).
- M: The minutes past the hour.
- 0.5: Degrees the hour hand moves per minute.
- 6: Degrees the minute hand moves per minute.
Clock Calculation Example
Scenario: You start working at 8:45 AM and finish at 5:15 PM. How long did you work?
Step-by-step solution:
- Convert 8:45 AM to 24-hour seconds: (8 * 3600) + (45 * 60) = 31,500 seconds.
- Convert 5:15 PM to 24-hour seconds: (17 * 3600) + (15 * 60) = 62,100 seconds.
- Subtract Start from End: 62,100 – 31,500 = 30,600 seconds.
- Convert back to HH:MM:SS: 30,600 / 3600 = 8.5 hours.
- Result = 8 hours and 30 minutes.
Common Questions
How many degrees are in one minute on a clock?
A clock is a circle (360 degrees) divided into 60 minutes. Therefore, each minute represents 360 / 60 = 6 degrees. However, remember the hour hand also moves slightly as minutes pass!
Why does the clock calculator show two angles?
Between any two hands on a clock, there is a minor angle (less than or equal to 180°) and a major angle (the "rest" of the circle). This calculator provides the smaller, internal angle by default.
Can I use military time?
Yes, simply select the "24h" option from the AM/PM dropdown menu. This allows for inputs like 14:00 or 23:30 without needing to specify AM or PM.