Finding geometry of an area with overpass API - overpass-api

Question

I am trying to find the geometry of a building from a particular latitude longitude. So my idea was to use a coord-query to get all areas in which the lat,lng. Using http://overpass.osm.rambler.ru/cgi/interpreter, I get all the areas and I can filter to get only the nodes that are buildings.
Now I have an area, for example:
{ id: '2542062474',
'addr:city': 'Nice',
amenity: 'place_of_worship',
building: 'yes',
denomination: 'protestant',
name: 'Église Protestante Unie de Nice Saint-Esprit',
religion: 'christian',
source: 'cadastre-dgi-fr source : Direction Générale des Impôts - Cadastre. Mise à jour : 2011' }
I thought it would be easy to get the geometry of this area but I can't find any way of doing that ? I must be missing something.
In http://overpass-turbo.eu, I enter the script:
[out:json][timeout:25];
// gather results
(
// query part for: “area”
area(2542062474);
);
// print results
out body;
>;
out skel qt;
but the result does not include the geometry. How do I get the geometry of an area ?
Thanks !
Here is my script, for the moment: https://gist.github.com/ptbrowne/60d7338502de1d16ac46

Answer 1

Areas are an internal data type of Overpass. You can use pivot to get the geometry:
[out:json][timeout:25];
area(2542062474);
way(pivot);
out body;
>;
out skel qt;

Answer 2

Finally, what I did was to read a bit more the doc and to find out that to get the way associated with an area, I needed to substract 2400000000 from the area id.
Then I could only query for the way. From area id 2542062474, I substract 2400000000, I get 142062474.
[out:json][timeout:25];
way(142062474);
out body;
>;
out skel qt;
It works, but I think the pivot answer by #Alex Morega is better since the 2400000000 might change one day. I do not know about performance.