180 degrees is equal to [tex] \pi [/tex] radians.
Set up the following proportions:
[tex] \frac{80}{x} = \frac{180}{\pi} [/tex]
Cross multiply to get the following equation:
180x = 80[tex] \pi [/tex]
Divide both sides by 180 to solve for x.
x = [tex] \frac{80}{180}\pi[/tex]
The answer is [tex] \frac{80}{180}\pi[/tex] radians, simplified to 1.4 radians.
