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.