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## Calculate the Distance between Two Locations

Basic scenario:

When we want to calculate the distance between two locations, we need to know the coordinates of these two locations.

Here’s the sample data:

We now have the coordinates of current locations and destinations, using below formula we could get the distance between these locations.

``````Distince (KM) =
12742 -- The diameter of the Earth (KM).
* ASIN (
-- Returns the arcsine, or inverse sine, of a number.
SQRT (
-- Returns the square root of a number.
POWER (
-- Returns the result of a number raised to a power.
SIN ( -- Returns the sine of the given angle.
'Table'[Current Lat] - 'Table'[Destination Lat] )
* PI () / 360,
2
) -- PI () Returns the value of Pi, 3.14159265358979, accurate to 15 digits.
+ COS (
-- Returns the cosine of the given angle.
'Table'[Current Lat] * PI () / 180
)
* COS ( 'Table'[Destination Lat] * PI () / 180 )
* POWER (
SIN ( 'Table'[Current Long] - 'Table'[Destination Long] )
* PI () / 360,
2
)
)
)``````

Reference:

https://docs.microsoft.com/en-us/dax/sqrt-function-dax

https://docs.microsoft.com/en-us/dax/asin-function-dax

https://docs.microsoft.com/en-us/dax/power-function-dax

https://docs.microsoft.com/en-us/dax/sin-function-dax

https://docs.microsoft.com/en-us/dax/cos-function-dax

https://docs.microsoft.com/en-us/dax/pi-function-dax

Now we have two tables.

The Customer table contains the coordinates of some customers.

And the Store table contains the coordinates of some stores.

By flexibly using the above formula of calculating distance, we can get the nearest store for each user and also get the distance from each user to their nearest store.

``````Nearest Store =
CALCULATE (
FIRSTNONBLANK ( Store[Store], 0 ),
TOPN (
1,
Store,
12742
* ASIN (
SQRT (
POWER ( SIN ( Customer[Latitude] - Store[Latitude] ) * PI () / 360, 2 )
+ COS ( Customer[Latitude] * PI () / 180 )
* COS ( Store[Latitude] * PI () / 180 )
* POWER ( SIN ( Customer[Longitude] - Store[Longitude] ) * PI () / 360, 2 )
)
), ASC
)
)``````
``````Distance to Nearest Store (KM) =
MINX (
Store,
12742
* ASIN (
SQRT (
POWER ( SIN ( Customer[Latitude] - Store[Latitude] ) * PI () / 360, 2 )
+ COS ( Customer[Latitude] * PI () / 180 )
* COS ( Store[Latitude] * PI () / 180 )
* POWER ( SIN ( Customer[Longitude] - Store[Longitude] ) * PI () / 360, 2 )
)
)
)``````

Author: Jay Wang

Reviewer: Ula Huang, Kerry Wang