To convert degrees to radians, multiply the angle in degrees by π180\frac{\pi}{180}180π. The formula is:
Radians=Degrees×π180\text{Radians}=\text{Degrees}\times \frac{\pi}{180}Radians=Degrees×180π
This works because 180 degrees is equivalent to π\pi π radians, so 1 degree equals π180\frac{\pi}{180}180π radians. For example, to convert 90 degrees to radians:
90∘×π180=π2 radians90^\circ \times \frac{\pi}{180}=\frac{\pi}{2}\text{ radians}90∘×180π=2π radians
Thus, the conversion from degrees to radians is done by multiplying the degree value by π180\frac{\pi}{180}180π.
