Given a radius and a central angle in radian, the formula in solving arc length is:
[tex]AB=\theta\times r[/tex]Since the angle and radius are given already in the problem, let's plug it in to the formula above.
[tex]AB=\frac{12\pi}{7}(25m)[/tex]Then, solve.
[tex]AB=\frac{300\pi m}{7}=\frac{942.47779m}{7}\approx134.64m[/tex]Therefore, the length of an arc having a central angle of 12π/7 is approximately 134.64 meters.
