Final answer:
To find the length of the arc of a circle, use the formula arc length = (angle measure / 360 degrees) * circumference. In this case, the angle measure is 30 degrees and the radius is 5cm. Therefore, the length of the arc is approximately 8.22 cm.
Step-by-step explanation:
To find the length of the arc of a circle, you can use the formula:
Arc length = (angle measure / 360 degrees) * circumference
In this case, the angle measure is 30 degrees and the radius is 5cm. The circumference of a circle is found using the formula: circumference = 2 * π * radius.
So the length of the arc is:
Arc length = (30 degrees / 360 degrees) * (2 * π * 5cm)
Arc length = (30/360) * (2 * π * 5) cm
Arc length ≈ 0.2618 * 31.42 cm
Arc length ≈ 8.22 cm