Quick Answer
Qibla direction is calculated using a great-circle bearing formula based on your exact latitude and longitude relative to the Kaaba's coordinates in Mecca (21.4225°N, 39.8262°E), giving the shortest compass direction to face for prayer.
What Is Qibla Direction?
The Qibla is the direction Muslims face during prayer (Salah), pointing toward the Kaaba in the Grand Mosque of Mecca, Saudi Arabia. Because the Earth is a sphere, the correct direction isn't simply 'east' or 'west' based on a flat map, it's calculated using great-circle navigation, the same method used in aviation to find the shortest path between two points on a globe.
A great-circle bearing can produce surprising results compared to flat-map intuition, for example, from many parts of the United States, the shortest path to Mecca actually involves an initial bearing toward the northeast, crossing over the North Atlantic and Europe, rather than what a flat-projection map might suggest. This is a normal consequence of spherical geometry, not an error.
Qibla calculators use your device's GPS coordinates (or a manually entered city) along with the Kaaba's fixed coordinates to calculate the precise compass bearing, then, on mobile devices, combine this with the phone's magnetic compass sensor to show a live, rotating Qibla indicator.
How to Use
- 1Allow location access, or manually search for your city, so the calculator has your exact coordinates.
- 2The calculator computes the great-circle bearing from your location to the Kaaba.
- 3On a mobile device with a compass sensor, hold your phone flat, the Qibla indicator updates live as you rotate, showing exactly which way to turn.
- 4If using a desktop or a device without a compass sensor, use the numeric bearing shown along with a separate physical compass.
Formula
θ = atan2(sin(Δlong)·cos(lat₂), cos(lat₁)·sin(lat₂) − sin(lat₁)·cos(lat₂)·cos(Δlong))lat₁/long₁ = your location, lat₂/long₂ = Kaaba coordinates (21.4225°N, 39.8262°E)
Example: Approximate Qibla bearing from Karachi, Pakistan
- Karachi coordinates ≈ 24.86°N, 67.01°E
- Kaaba coordinates = 21.4225°N, 39.8262°E
- Applying the great-circle bearing formula to these two points
Tips & Things to Know
- Always allow precise location access for the most accurate result, manual city selection is less precise, especially for large metro areas spanning a wide geographic area.
- Phone compass sensors can be affected by nearby metal objects or electronics, if the live compass seems inconsistent, move away from large metal objects and recalibrate your phone's compass in its settings.
- The Qibla bearing is a fixed angle for any given location and does not change over time, only your own orientation (which way you're facing) changes, which is what the live compass tracks.
- For very precise religious or architectural purposes (e.g. building a mosque), professional surveying is recommended in addition to any app-based calculation.