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# Query a `2d`

Index

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The following sections describe queries supported by the `2d`

index.

## Points within a Shape Defined on a Flat Surface

To select all legacy coordinate pairs found within a given shape on a flat
surface, use the `$geoWithin`

operator along with a shape
operator. Use the following syntax:

db.<collection>.find( { <location field> : { $geoWithin : { $box|$polygon|$center : <coordinates> } } } )

The following queries for documents within a rectangle defined by ```
[ 0
, 0 ]
```

at the bottom left corner and by `[ 100 , 100 ]`

at the top
right corner.

db.places.find( { loc : { $geoWithin : { $box : [ [ 0 , 0 ] , [ 100 , 100 ] ] } } } )

The following queries for documents that are within the circle centered
on `[ -74 , 40.74 ]`

and with a radius of `10`

:

db.places.find( { loc: { $geoWithin : { $center : [ [-74, 40.74 ] , 10 ] } } } )

For syntax and examples for each shape, see the following:

## Points within a Circle Defined on a Sphere

MongoDB supports rudimentary spherical queries on flat `2d`

indexes for
legacy reasons. In general, spherical calculations should use a `2dsphere`

index, as described in `2dsphere`

Indexes.

To query for legacy coordinate pairs in a "spherical cap" on a sphere,
use `$geoWithin`

with the `$centerSphere`

operator.
Specify an array that contains:

The grid coordinates of the circle's center point

The circle's radius measured in radians. To calculate radians, see Calculate Distance Using Spherical Geometry.

Use the following syntax:

db.<collection>.find( { <location field> : { $geoWithin : { $centerSphere : [ [ <x>, <y> ] , <radius> ] } } } )

The following example query returns all documents within a 10-mile
radius of longitude `88 W`

and latitude `30 N`

. The example
converts distance to radians by dividing distance by the approximate
equatorial radius of the earth, 3963.2 miles:

db.<collection>.find( { loc : { $geoWithin : { $centerSphere : [ [ 88 , 30 ] , 10 / 3963.2 ] } } } )

## Proximity to a Point on a Flat Surface

Proximity queries return the legacy coordinate pairs closest to the
defined point and sort the results by distance. Use either the
`$near`

operator. The operator requires a `2d`

index.

The `$near`

operator uses the following syntax:

db.<collection>.find( { <location field> : { $near : [ <x> , <y> ] } } )

For examples, see `$near`

.

## Exact Matches on a Flat Surface

You cannot use a `2d`

index to return an exact match for a
coordinate pair. Use a scalar, ascending or descending, index on a
field that stores coordinates to return exact matches.

In the following example, the `find()`

operation will return an exact match on a location if you have a ```
{
'loc': 1}
```

index:

db.<collection>.find( { loc: [ <x> , <y> ] } )

This query will return any documents with the value of `[ <x> , <y> ]`

.