Find euclidean distance from a point to rows in pandas dataframe

Question

i have a dataframe

id    lat      long
1     12.654   15.50
2     14.364   25.51
3     17.636   32.53
5     12.334   25.84
9     32.224   15.74

Answer 1

Translating [(x₂ - x₁)² + (y₂ - y₁)²]^1/2 into pandas vectorised operations, you have:

df['distance'] = (df.lat.sub(11.344).pow(2).add(df.long.sub(7.234).pow(2))).pow(.5)         
df

       lat   long   distance
id                          
1   12.654  15.50   8.369161
2   14.364  25.51  18.523838
3   17.636  32.53  26.066777
5   12.334  25.84  18.632320
9   32.224  15.74  22.546096

Alternatively, using arithmetic operators:

(((df.lat - 11.344) ** 2) + (df.long - 7.234) ** 2) ** .5