Detect exactly where other objects around player are

I have a player (blue rectangle) which is the center object (can be moved). Other objects will move around
the player. What I need is to detect exactly where the other objects lie from the perspective of the player, like the picture below. The circle represent the max distance/radius I need to detect other objects.

I can use InverseTransformPoint to find the x and y of other objects (I dont care about about z), What I need help with, is how can I know in which part (A,B,C…) they are, and how to set them up. Of course this must not be visible in-game and I prefer to handle it from code.

37312-fig.jpg

I find breaking these problems down into the most basic form to be easiest.
First put the “Other” objects into the player’s space by subtracting the player’s world position form the “other’s” world position (we’ll call this new Vector2, otherVec). This allows you to assume the players location to be the zero vector.
Next, all you have to do is use Mathf.Atan(otherVec.x/otherVec.y) to find the degree in radians. Mathf has functionality to convert radians into degrees.
Then with the angle as jakovd stated, you can use if statements to translate into your A, B, C definitions.

http://mymathforum.com/algebra/6201-how-find-angle-given-point-circle.html

Good approach would be to keep the references to all those objects in a script.
Make a public List of Transforms in your script and drag’n’drop all other objects in the editor to that list. In your code, on the place where you need that information, make the foreach loop that goes through all the elements of that list and calculates the difference of their transform.position and Player.transform.position. Then get the angle of that vector and player’s tranform.forward vector with Vector3.Angle(). Use if statements to differentiate which angle fits your A-H parts, like if (angle<15 && angle >-15) {//this is part C}.

You can calculate the vector between the player and the object, then decide which part the object it is at.

To explain this in a simpler way, imagine there’s only four areas around the player(top-right, top-left, bottom-right, bottom-left). After calculated the vector between player and object:

new Vector2 (obj.x-player.x , obj.y-player.y)

We know that if the x and y values are greater than 0, then it is in the top-right section. If x is lower than 0 and y is greater than 0, then it is in the top-left, and so on.

If there are more sections, the same idea can still be applied.