To find the length of the arc, we use the formula: \(\text{Length of arc} = \frac{\theta}{360^\circ} \times 2\pi r\) Given: \(\theta = 75^\circ \) Diameter = 7cm, r = \(\frac{7}{2}\) = 3.5 cm. \(\pi = \frac{22}{7}\) Calculate the circumference of the circle: \(\text{Circumference} = 2\pi r = 2 \times \frac{22}{7} \times 3.5\) Calculating: \(= 2 \times \frac{22}{7} \times \frac{7}{2} = 22 \text{ cm}\) Calculate the length of the arc: \(\text{Length of arc} = \frac{75}{360} \times 22\) Calculating: \(= \frac{75 \times 22}{360} = \frac{1650}{360} \approx 4.5833 \text{ cm}\) The length of the arc is approximately 4.58 cm