# How do i express angles in a radian measure as multiples of pi.

For example, suppose i have an angle of 30 degrees, and a angle of -270 degrees. How would I express them in a radian measure as a multiple of pi?.

Thanks.

## 180 degrees is pi radians.

That is all you have to remember.

For example to convert 30 degrees to radians:

30 degrees * ( pi radians / 180 degrees) = pi/6 radians

## To express angles in radian measure as multiples of π, you need to convert degrees to radians by using the conversion factor: π radians = 180 degrees. Here's how you would express the given angles:

1. Angle of 30 degrees:

To convert 30 degrees to radians, you can use the conversion factor:

π radians = 180 degrees

So, to find the equivalent angle in radians, divide 30 degrees by 180 and multiply by π:

30 degrees * (π radians / 180 degrees) = π/6 radians

Therefore, the angle of 30 degrees is equal to π/6 radians.

2. Angle of -270 degrees:

To convert -270 degrees to radians, you can use the same conversion factor:

π radians = 180 degrees

Since the angle is negative, you can consider it as a rotation in the opposite direction. So, the magnitude of the angle would still be 270 degrees. Thus, the calculation would be:

-270 degrees * (π radians / 180 degrees) = -3π/2 radians

Therefore, the angle of -270 degrees is equal to -3π/2 radians.

In summary:

- Angle of 30 degrees = π/6 radians

- Angle of -270 degrees = -3π/2 radians