Answer:
[tex]\frac7{12}\pi \approx 1.83 \text{ cm}[/tex]
Step-by-step explanation:
The length of an arc can be found using the formula;
[tex]L = 2\pi r \times \frac{\theta^{\circ}}{360}[/tex]
Where L is the length of the arc, r is the radius of the circle, and [tex]\theta[/tex] is the value of an angle (in degrees) subtended by the arc at the center of the circle.
In our case, r = 3.5 cm and [tex]\theta = 30^{\circ}[/tex]. We'll substitute these values to find L.
[tex]L = 2\pi \times 3.5 \times \frac{30}{360}\\\to L = 7\pi \times \frac1{12}\\\to L = \frac7{12}\pi \approx 1.83\text{ cm}[/tex]
