Question

Convert 240 degrees to radians in terms of pi.

Answer 1

To convert 240 degrees to radians in terms of pi, you can use the ratio 360 degrees = 2pi radians and cross multiply to solve for x.

Step-by-step explanation:

To convert degrees to radians in terms of pi, we can use the fact that 1 revolution is equal to 360 degrees. We can also use the conversion factor that 1 radian is approximately equal to 57.3 degrees. So, to convert 240 degrees to radians in terms of pi, we can set up the following ratio:

360 degrees = 2pi radians

240 degrees = x radians

Cross multiplying, we get:

x = (240 degrees * 2pi radians) / 360 degrees

Simplifying, we get:

x = 4pi/3 radians.