Prayer Time Calculation Methods Calculator
Compare prayer time calculation methods using date, latitude, longitude, UTC offset, Fajr angle, Isha angle, and Asr method.
What are prayer time calculation methods?
Prayer time calculation methods are rule sets used to estimate times such as Fajr, Isha, and Asr from the sun’s position. Most differences between methods come from the sun depression angle used for Fajr and Isha, and from the Asr shadow rule. The calculator lets you compare common methods such as Muslim World League, ISNA, Egyptian, Umm al-Qura, Karachi, and custom angles. PrayTimes lists many of these settings under calculation methods.
The solar part of the calculation uses the date, latitude, longitude, time zone, solar declination, and equation of time. NOAA explains solar position concepts in its solar details. Sunrise and sunset are based on a common altitude correction near -0.833 degrees. Fajr and Isha use deeper sun angles below the horizon, unless the selected method uses minutes after Maghrib for Isha.
This page is useful for understanding why two apps may show different times for the same city. One app may use a 15-degree Fajr angle while another uses 18 degrees. One may use a Hanafi Asr method while another uses the standard shadow factor. High-latitude locations can also require special handling because the sun may not reach the normal depression angle during some parts of the year. In those cases, local religious authorities often publish adjusted timetables.
Formula and worked example
| Solar noon | 12 + UTC offset − longitude ÷ 15 − equation of time ÷ 60 |
|---|---|
| Fajr | Solar noon − hour angle for selected Fajr angle |
| Isha | Solar noon + hour angle for selected Isha angle, or minutes after Maghrib |
| Asr | Afternoon time when shadow factor reaches the selected method |
| Location | Colombo example |
| Method | Muslim World League |
| Fajr angle | 18 degrees |
| Isha angle | 17 degrees |
- Find solar noon from longitude, date, time zone, and equation of time.
- Find sunrise and Maghrib using the sunrise/sunset solar altitude.
- Find Fajr by using the selected Fajr depression angle before solar noon.
- Find Isha by using the selected Isha angle after solar noon.
Common mistakes and practical use
The biggest mistake is assuming that all prayer time differences are errors. Often the difference comes from method selection. A Fajr angle of 18 degrees will usually produce a different time from a 15-degree angle. Asr can also differ because the Hanafi method uses a different shadow factor from the standard method. The calculator shows the method settings so the difference is easier to understand.
Use this calculator to compare methods, check app settings, understand Fajr and Isha angles, and learn why travel prayer times change by location and season. The limitation is that high-latitude handling, local horizon, elevation, refraction, twilight adjustment rules, and official authority decisions can change the final timetable. For daily worship, follow your local mosque, official calendar, or trusted scholar-approved timetable.
Limitations and assumptions
This prayer time method calculator is built for education and comparison. It helps you see how solar position and method angles affect the timetable, but it should not replace an official local prayer calendar. Some communities apply safety adjustments, high-latitude rules, elevation corrections, or authority-approved observation practices. When the result differs from your mosque or official calendar, follow the local authority for worship and use this calculator only to understand why the difference may exist.
Common questions
-
This calculator turns everyday measurements into a useful planning number. It shows the formula, the units used, and a simple result breakdown so you can understand the answer instead of only copying a number. It is best for early planning, shopping, estimating, and checking your manual calculation.
-
Yes, but you should add a sensible allowance before buying. Real projects often need extra material because of trimming, waste, breakage, rounding to package sizes, site changes, or simple measuring mistakes. The calculator gives a clean estimate, then the final order should follow the package size, supplier rule, or installer recommendation.
-
Rounding matters because many everyday items are not sold in exact decimal amounts. Fabric is often bought by the yard, soil by the bag or cubic yard, drinks by the bottle or case, and trim by stock length. The safe approach is usually to round up to the next practical purchase size instead of trying to buy the exact mathematical amount.
-
The most common mistake is mixing units. For example, people enter inches where the calculator expects feet, count only one side when both sides need margin, or forget that a package count is different from a usable count. Always read each label and check whether the input is a length, area, volume, quantity, percentage, or price.
-
A real result can be different because the calculator uses a clear formula and normal assumptions. Your actual result may change because of product size, waste, personal preference, local practice, room shape, manufacturer rules, or the way the work is installed. Use the result as a planning estimate, not as a guarantee.
-
Enter the best measurements you have. If you are measuring a room, wall, quilt, tank, garden bed, or project piece, use a tape measure and write the numbers down before using the calculator. A small measuring error can become a larger buying error when it is multiplied across many pieces or a large surface.
-
The calculator uses degrees for latitude, longitude, solar angles, and hours for UTC offset. Output times are local estimated clock times.
-
It can be useful for professionals as a quick check, but it is written for simple everyday planning. A professional may still need job-specific standards, supplier data, code rules, contracts, or client preferences. The value of the calculator is that it makes the formula visible and helps catch obvious mistakes early.