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 .