WRONG answer.

There's an entire FIELD of map making, that is forced to use the concept "projection."

A FLAT surface does NOT match a set of spherical coordinates.

Therefore DISTORTIONS have to be created, so that SPHERICAL COORDINATES can be ADAPTED to a FLAT PLANE.

https://en.wikipedia.org/wiki/Map_projection

"In cartography, a map projection is a way to flatten the globe's surface into a plane in order to make a map.

This requires a systematic transformation of the latitudes and longitudes of locations from the surface of the globe into locations on a plane.

All projections of a sphere on a plane necessarily distort the surface in some way and to some extent.

The study of map projections is primarily about the characterization of their distortions.

A model globe does not distort surface relationships the way maps do, but maps can be more useful in many situations:

they are more compact and easier to store; they readily accommodate an enormous range of scales;

they are viewed easily on computer displays;

they can be measured to find properties of the region being mapped; they can show larger portions of the Earth's surface at once;

and they are cheaper to produce and transport. These useful traits of maps motivate the development of map projections."

The best known map projection is the Mercator projection."

Latitude/Longitude are EACH: separatedly derived, "SPHERICAL COORDINATES."

They ONLY WORK on SPHERES.

It's why they're named ''SPHERICAL COORDINATES.''

One of the FOUNDATIONS of GEOMETRY is that the skin surface of one geometry CAN NOT MATCH the skin surface of ANOTHER geometric figure.

EACH geometric figure has it's own formula fo surface area.

Clown.

This explains the mouth-breather level stupidity of your faked map.

It addreses SPECIFICALLY what you claim.

https://www.youtube.com/watch?v=Dd-FAyHdpxI