Answer:
4π/9, 0.44444π, or 1.3962634 radians
Step-by-step explanation:
To convert from degrees, to radians, multiply the the degrees times pi over 180 degrees
[tex]\textdegree *\frac{\pi }{180\textdegree}[/tex]
We want to convert 80 degrees to radians.
[tex]80 \textdegree *\frac{\pi}{180 \textdegree}[/tex]
The degrees signs cancel.
[tex]80 *\frac{\pi}{180}[/tex]
[tex]\frac {80}{1} *\frac{\pi}{180}[/tex]
Move 80 to the numerator.
[tex]\frac{80 \pi}{180}[/tex]
Simplify 80/180. Both the numerator and denominator can be divided by 20.
[tex]\frac{(80/20) \pi}{180/20}[/tex]
[tex]\frac{4 \pi}{9} \approx 0.444444\pi \approx 1.3962634[/tex]
80 degrees is equal to 4π/9 radians, 0.44444π radians, or 1.3962634 radians.
