90 degress= ? radians

How is the answer pie over 2?
330 degrees = 11pie over 6
-105 degrees= -7pie over 12

Converting the angle in radians to degrees
3pie over 4 =135 degrees
pie over 2 = 90 degrees

pie over 30 = 6 degrees

-7pie over 5 =-135 degrees

I have these answers but I have no idea on how to get them..

Since 360 degrees = 2 pi radians BY DEFINITION, 90 degrees must be pi/2 radians.It is 1/4 of a complete circle.

All of your questions are worked the same way.

pi/30 radians = [pi/30]* [360 deg/(2 pi rad)]
= 6 degrees

To convert an angle from degrees to radians, you can use the formula:

radians = degrees * (π/180)

Let's use this formula to find the answers:

1. To convert 90 degrees to radians:
radians = 90 * (π/180)
= (90/180) * π
= (1/2) * π
= π/2

So, 90 degrees is equal to π/2 radians.

2. To convert 330 degrees to radians:
radians = 330 * (π/180)
= (330/180) * π
= (11/6) * π

So, 330 degrees is equal to 11π/6 radians.

3. To convert -105 degrees to radians:
radians = -105 * (π/180)
= (-105/180) * π
= (-7/12) * π

So, -105 degrees is equal to -7π/12 radians.

4. To convert 3π/4 radians to degrees:
degrees = (3π/4) * (180/π)
= (3/4) * 180
= 135

So, 3π/4 radians is equal to 135 degrees.

5. To convert π/2 radians to degrees:
degrees = (π/2) * (180/π)
= (1/2) * 180
= 90

So, π/2 radians is equal to 90 degrees.

6. To convert π/30 radians to degrees:
degrees = (π/30) * (180/π)
= (1/30) * 180
= 6

So, π/30 radians is equal to 6 degrees.

7. To convert -7π/5 radians to degrees:
degrees = (-7π/5) * (180/π)
= (-7/5) * 180
= -252

So, -7π/5 radians is equal to -252 degrees.

These are the steps to convert degrees to radians and vice versa.