What is the radian measure for an angle that measures 720 degrees?

720 degrees =   or 0.785 radians.

Step-by-step explanation:

Given:

The angle in degrees in given as 720°

We need to convert this to radians.

Now, we know that, the relation between degrees and radians is given as:

180 degree = π radians

Therefore, using unitary method, the value of 1 degree can be calculated.

∴ 1 degree =

Now, the value of 720 degrees can be calculated by multiplying the unit value and 720. So,

Hence, the measure of 720 degrees in radians is or 0.25π radians or 0.785 radians.