In this example we will explain what is value of 30 degrees in radians . firstly we will discuss formula for how to convert degrees to radians . After that we will convert 30 into radian measure using formula . We will write a java program for convert 30 degrees to radians in this example .
Note : 90 degrees is equal to π/6 radian.
Convert 30 Degrees to Radians
Now will see formula for convert 30 degrees to radians .To convert from degrees to radians , we use given below formula .
Angle in radian = Angle in degree x (π/180)
30 Degrees in Radians
Now We will use above given formula to calculate how many radians is 30 degrees . In this example value of angle is 30 .
Now Angle in radian = Angle in degree x (π/180)
Angle in radian = 30 x (π/180)
Angle in radian = π/6
Hence, 30 degrees is equal to π/6 in radian .
As we now that value of π(PI) is 3.14159 then use this value
Angle in radian = 3.14159/6
Angle in radian = 0.52359833333
So, 30 degrees is equal to 0.5235987755982988 radian .
Now we will write a java program to convert 30 degrees to radian .
Java program to Convert 30 Degrees in Radians
This java program will convert 30 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 30 degrees in radians .
public class DegreesToRadians {
public static void main(String[] args) {
double deg = 30;
System.out.println("30 Degrees in radians: "+Math.toRadians(deg));
}
}
Output:
30 Degrees in radians: 0.5235987755982988
30 Deg to Rad
So now it is clear that 30 degrees to radians is π/6
30 degrees is equal to π/6 in radian. Or 30 degrees is equal to 0.5235987755982988 radian
In this example we learned how to convert 30 degrees in radians . We have converted 30 degrees into radians in this example using java program also .Like 30 deg to rad , you can convert degrees into radians. You can learn more java program for practice .