You Do Need power plug adapter while traveling from Abu Dhabi to Costa Rica.

Here is Why You Need An Adapter

The outlet and plug type used in Costa Rica are A and B and in Abu Dhabi is G. This is how they look like.

Abu Dhabi

In Abu Dhabi, outlets of type G are in use.

Type G

Costa Rica

In Costa Rica, outlets of type A and B are in use.

Type A

Type B