The arc length formula is
[tex]l=\frac{\theta}{360}\cdot2\pi r[/tex]
Where
l is the arc length
θ is the central angle
r is the radius of the circle
Given,
θ = 45
r = 2
Substituting into the formula,
[tex]\begin{gathered} l=\frac{45}{360}\cdot2\pi(2) \\ l=\frac{1}{8}\cdot4\pi \\ l=\frac{4\pi}{8} \\ l=\frac{\pi}{2} \end{gathered}[/tex]AnswerE
