Radians: [tex]s = \theta r[/tex]
[tex]s = \frac{s}{r}(r)[/tex]
[tex]s = \frac{40}{8}(8)[/tex]
[tex]s = 5(8)[/tex]
[tex]s = 40\°[/tex]
[tex]s = \frac{4\pi}{18}[/tex]
Degrees: [tex]s = \theta\frac{\pi}{180}r[/tex]
[tex]s = \frac{s\pi}{180r}(r)[/tex]
[tex]s = \frac{40\pi}{180(8)}(8)[/tex]
[tex]s = \frac{40\pi}{180}[/tex]
[tex]s = \frac{4\pi}{18}[/tex]
[tex]s = 40\°[/tex]
Arc Length = [tex]\frac{\theta}{360\°} * C[/tex]
Arc Length = [tex]\frac{5\°}{360\°} * 2\pi r[/tex]
Arc Length = [tex]\frac{1}{72} * 2(3.14)(8)[/tex]
Arc Length = [tex]\frac{1}{72} * 2(25.12)[/tex]
Arc Length = [tex]\frac{1}{72}(50.24)[/tex]
Arc Length ≈ [tex]0.698131701[/tex]
