The arc length formula is given by:
[tex]L=\theta\cdot r[/tex]
Where θ is the central angle and r is the radius. From the problem, we identify:
[tex]\begin{gathered} \theta=\frac{\pi}{2} \\ \\ r=7\text{ m} \end{gathered}[/tex]
Then, using the formula:
[tex]\begin{gathered} L=\frac{\pi}{2}\cdot7 \\ \\ \therefore L=\frac{7\pi}{2}\text{ m} \end{gathered}[/tex]
