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