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# How to instantiate objects in a circle formation around a point?

Hello everyone, I would like to arrange some prefabs (eight to be more specific) in a circular formation around a center point, all equally spaced. They could be instantiated or just moved, I'm just trying to have them in circular formation. I've tried several supposed solutions from around the internet but each to no avail. What's the right thing to do?

**Answer** by Cornelis-de-Jager
·
Aug 29, 2019 at 10:04 PM

## Explanation

If you don't really want to know just skip to final code snippet.

The circumferance of a circle is `2 * Pi * r`

but we can ignore the radius in this case since we only want the spread around the circle, making the function `2 * Pi`

.
Lets say we have 5 enemies. This means each enemy must `2 * Pi / 5`

distance around the circle (**Radians**) away from each other.
We'll use `num`

to denote number of enemies making the formula: `2 * Pi / num`

.
If we were to loop through each enemy `i`

, the position of the current one around the circle would be the previous position plus `2 * Pi / num`

.
Meaning to determine the exact radians we can use `2 * Pi / num * i`

.

```
for (int i = 0; i < num; i++){
/* Distance around the circle */
var radians = 2 * MathF.Pi / num * i;
...
}
```

We only have the radians now, but in unity we don't use radians so we need to convert radians into a **direction** (Vector3) and **position** (Vector3).
To do that we need to fince both the vertcial and horizontal position. For vertical we can use **Sin** and horizontal we can use **Cos**.
We can the add the new vector3 to the center point to get the spawn direction relative to center point and then multiply it by radius.

```
/* Get the vector direction */
var vertrical = MathF.Sin(radians);
var horizontal = MathF.Cos(radians);
var spawnDir = new Vector3 (horizontal, 0, vertcial);
/* Get the spawn position */ /* Get the spawn position */
var spawnPos = point + spawnDir * radius; // Radius is just the distance away from the point
```

Now that we have the spawn pos we can simply **spawn** the enemy, **rotate** it to look at the player and then **adjust height** so the enemies don't fall out of the world.

```
/* Now spawn */
var enemy = Instantiate (enemyPefab, spawnPos, Qaurtenion.Identity) as GameObject;
/* Rotate the enemy to face towards player */
enemy.transform.LookAt(point);
/* Adjust height */
enemy.transform.Translate (new Vector3 (0, enemy.transform.LocalScale.y / 2, 0));
```

## Full Solution

This is how it will look like if we put it all together:

```
public GameObject enemyPefab;
public void CreateEnemiesAroundPoint (int num, Vector3 point, float radius){
for (int i = 0; i < num; i++){
/* Distance around the circle */
var radians = 2 * MathF.Pi / num * i;
/* Get the vector direction */
var vertrical = MathF.Sin(radians);
var horizontal = MathF.Cos(radians);
var spawnDir = new Vector3 (horizontal, 0, vertcial);
/* Get the spawn position */
var spawnPos = point + spawnDir * radius; // Radius is just the distance away from the point
/* Now spawn */
var enemy = Instantiate (enemyPefab, spawnPos, Qaurtenion.Identity) as GameObject;
/* Rotate the enemy to face towards player */
enemy.transform.LookAt(point);
/* Adjust height */
enemy.transform.Translate (new Vector3 (0, enemy.transform.LocalScale.y / 2, 0));
}
}
```

Hope this helpds. If you have any questions let me know.

Thank you so much for sharing this! I was doing this for UI, so using transform.SetParent and moving the vertical from the Z axis to the Y axis did the trick. Thanks again!

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