Change from degree measure to radian measure in terms of pie
-320 degrees
To change to radians multiply it by pi/180.
To convert from degree measure to radian measure, you can use the relationship that 180 degrees is equal to pi radians.
To convert -320 degrees to radians, first, we need to find the equivalent positive angle in degrees. We can do this by adding 360 degrees to -320.
-320 degrees + 360 degrees = 40 degrees
Now, we can convert this positive angle from degrees to radians.
Since 180 degrees is equal to pi radians, we can set up a proportion:
180 degrees = pi radians
40 degrees = x radians (the angle we want to convert)
Cross-multiplying the proportion:
180x = 40 * pi
Dividing both sides by 180:
x = (40 * pi) / 180
Simplifying:
x = 2 * pi / 9
Therefore, -320 degrees is equal to -2 * pi / 9 radians in terms of pi.