In this Example we will convert **150 degrees to radians** . Firstly we will see angle to radians formula then use it . We will also calculate **150 degrees to radians in terms of pi** .

**Note : 90 degrees is equal to 5π/6 radian .**

## How to Convert from Degrees to Radians

To convert from degrees to radians , we use given below formula .

Angle in radian = Angle in degree x (π/180)

## 150 degrees to radians

We will use above given formula to calculate **how many radians is 150 degrees** . In this example value of angle is 150 .

Now Angle in radian = Angle in degree x (π/180)

Angle in radian = 150 x (π/180)

Angle in radian = 5π/6

Hence, 150 degrees is equal to 5π/6 in radian .

So , **150 degrees to radians in terms of pi is equal to 5π/6 .**

As we now that value of π(PI) is 3.14159 then use this value

Angle in radian = 5*3.14159/6

Angle in radian = 2.6180

So, 150 degrees is equal to 2.6180 radian . or

we can say **what is 150 degrees in radians** ? then answer is apx. 2.6180 radian .

Now we will write a java program to convert 150 degrees to radian .

## Java program to Convert 150 degrees to radians

This java program will convert 150 degrees into radians . We will use toRadians() method of Math class . It take input as degree and convert it to radians .Let’s see Java program to convert 150 degrees in radians .

```
public class DegreesToRadians {
public static void main(String[] args) {
double deg = 150;
System.out.println("150 Degrees in radians: "+Math.toRadians(deg));
}
}
```

Output :

`150 Degrees in radians: 2.6179938779914944`

## 150 deg to rad

So now it is clear that 150 degrees to radians is 5π/6.

150 degrees is equal to 5π/6 in radian. Or 150 degrees is equal to apx. 2.6180 radian .

In this example we have learned how to convert 150 degrees to radians . We got answer of these question what is 150 degrees in radians ? , 150 degrees to radians in terms of pi and how many radians is 150 degrees ?. We have also written one java program to convert 150 degrees in radians . We have used java library to 150 deg to rad conversion in this program . You can learn more java program for practice for beginners with well explained example .