Given:
Radius of circle is, r = 7 cm.
Tthe angle of arc at the center is θ = 30°.
The objective is to find the length of the arc.
The formula to find the length of the arc is,
[tex]l=\frac{\theta}{360}\cdot2\pi\text{ r.}[/tex]Now, substitue the given values in the above formula.
[tex]\begin{gathered} l=\frac{30}{360}\cdot2\cdot\pi\cdot7 \\ =\frac{1}{12}\cdot14\pi \\ =3.7\text{ cm.} \end{gathered}[/tex]Hence, the length of the arc is 3.7 cm.