Antipode of Madrid, Spain

The opposite side of the world to Madrid is Takapau, Hawke's Bay, New Zealand.



Continent: Europe

Coordinates: 40.417, -3.703

Antipodal point

Opposite side in the world

Continent: Europe

Coordinates: -40.417, 176.297


New Zealand

Takapau is the closest city to Madrid's antipodal point (43 km).

The antipodal city to Madrid is Takapau. This means that, among all the populated locations in the world, the farthest city from Madrid is Takapau.

The distance from Madrid to Takapau is about 20,000 kilometers. A direct flight would take around 22 hours, but there aren't commercial routes between these cities.

Cities on the other side of the world of Madrid

This table contains the populated locations that are closest to Madrid's antipode. These are the farthest cities in the world from Madrid.

City Country Distance from antipode Coordinates
Takapau, Hawke's Bay New Zealand 43 km (-40.033, 176.350)
Castlepoint, Wellington New Zealand 54 km (-40.900, 176.217)
Palmerston North, Manawatu-Wanganui New Zealand 59 km (-40.356, 175.611)
Linton Military Camp, Manawatu-Wanganui New Zealand 61 km (-40.403, 175.583)
Otane, Hawke's Bay New Zealand 66 km (-39.883, 176.633)
Tokomaru, Manawatu-Wanganui New Zealand 67 km (-40.473, 175.509)
Rongotea, Manawatu-Wanganui New Zealand 75 km (-40.293, 175.425)
Sanson, Manawatu-Wanganui New Zealand 77 km (-40.220, 175.424)
Masterton, Wellington New Zealand 81 km (-40.960, 175.658)
Hunterville, Manawatu-Wanganui New Zealand 82 km (-39.937, 175.568)

Madrid, Spain

Local time:

Coordinates: 40.4165° N 3.7026° W

Takapau, New Zealand

Local time:

Coordinates: 40.0333° S 176.35° E

How to calculate the antipodal point?

The antipode can be calculated by understanding the geographic coordinates and applying simple formulas. We will use the following variables:

  • LatO: Latitude at the origin point.
  • LngO: Longitude at the origin point.
  • LatA: Latitude at the antipodal point.
  • LngA: Longitude at the antipodal point.

Step 1: Obtain the geographic coordinates of Madrid

The DMS coordinates are: 40°24'59.4'' N 3°42'9.2'' W.

Calculations are easier by using the decimal format, hence:

LatO = 40.4165°

LngO = -3.70256°

Step 2: Calculate the latitude

LatA = - LatO = -40.4165°

Since the latitude is positive (north direction), the antipode must be negative (south direction).

Step 3: Calculate the longitude

LngA = LngO ± 180° = -3.70256 + 180° = 176.29744°

Since the longitude is negative, we sum 180° to ensure the final value lies between (-180, 180). If it were the other way around, we would subtract 180° for the same reason.


The antipode of Madrid is located on coordinates: (LatA, LngA) = (-40.4165, 176.29744)

In DMS format: 40°24'59.4'' N 3°42'9.2'' W.

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