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# PostgreSQL RADIANS() Function

**Summary**: in this tutorial, you will learn how to use the PostgreSQL `RADIANS()` function to convert degrees to radians.

## Introduction to the PostgreSQL RADIANS() function

The `RADIANS()` function converts degrees to radians.

Here's the basic syntax of the `RADIANS()` function:

```sql
RADIANS(degrees_value)
```

In this syntax, the `degrees_value` is a value in degrees that you want to convert to radians. The function returns the `degrees_value` converted to radians.

If the `degrees_value` is `NULL`, the function returns `NULL`.

## PostgreSQL RADIANS() function examples

Let's explore some examples of using the `RADIANS()` function.

### 1) Basic RADIANS() function example

The following example uses the `RADIANS()` function to convert 180 degrees to its equivalent in radians, resulting in `PI` value:

```sql
SELECT RADIANS(180);
```

Output:

```text
      radians
-------------------
 3.141592653589793
(1 row)
```

### 2) Using the RADIANS() function with table data

We'll show you how to use the `RADIANS` with data in a table.

First, [create a new table](../postgresql-tutorial/postgresql-create-table) called `angles` to store angle data in radians:

```sql
CREATE TABLE angles (
    id SERIAL PRIMARY KEY,
    angle_degrees NUMERIC
);
```

Second, [insert some rows](../postgresql-tutorial/postgresql-insert-multiple-rows) into the `angles` table:

```sql
INSERT INTO angles (angle_degrees)
VALUES
    (45),
    (60),
    (90),
    (NULL)
RETURNING *;
```

Output:

```text
 id | angle_degrees
----+---------------
  1 |            45
  2 |            60
  3 |            90
  4 |          null
(4 rows)
```

Third, use the `RADIANS()` function to convert the values in the `angle_degrees` column to radians:

```sql
SELECT
    id,
    angle_degrees,
    RADIANS(angle_degrees) AS angle_radians
FROM
    angles;
```

Output:

```text
 id | angle_degrees |   angle_radians
----+---------------+--------------------
  1 |            45 | 0.7853981633974483
  2 |            60 | 1.0471975511965976
  3 |            90 | 1.5707963267948966
  4 |          null |               null
(4 rows)
```

## Summary

- Use the PostgreSQL `RADIANS()` function to convert degrees to radians.

---

## Related docs (Math Functions)

- [ABS](https://neon.com/postgresql/postgresql-math-functions/postgresql-abs)
- [CBRT](https://neon.com/postgresql/postgresql-math-functions/postgresql-cbrt)
- [CEIL](https://neon.com/postgresql/postgresql-math-functions/postgresql-ceil)
- [DEGREES](https://neon.com/postgresql/postgresql-math-functions/postgresql-degrees)
- [DIV](https://neon.com/postgresql/postgresql-math-functions/postgresql-div)
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- [FACTORIAL](https://neon.com/postgresql/postgresql-math-functions/postgresql-factorial)
- [FLOOR](https://neon.com/postgresql/postgresql-math-functions/postgresql-floor)
- [GCD](https://neon.com/postgresql/postgresql-math-functions/postgresql-gcd)
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- [PI](https://neon.com/postgresql/postgresql-math-functions/postgresql-pi-function)
- [POWER](https://neon.com/postgresql/postgresql-math-functions/postgresql-power)
- [RANDOM](https://neon.com/postgresql/postgresql-math-functions/postgresql-random)
- [ROUND](https://neon.com/postgresql/postgresql-math-functions/postgresql-round)
- [SCALE](https://neon.com/postgresql/postgresql-math-functions/postgresql-scale)
- [SIGN](https://neon.com/postgresql/postgresql-math-functions/postgresql-sign)
- [SQRT](https://neon.com/postgresql/postgresql-math-functions/postgresql-sqrt)
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