Calculate the length of the arc of the circle, which corresponds to the central angle of 60 (degrees)

Calculate the length of the arc of the circle, which corresponds to the central angle of 60 (degrees), if the radius of the circle is 30cm.

Determine the circumference of a circle with a radius of 30 cm.

L = 2 * n * R = 2 * n * 30 = 60 * n cm.

Since the central angle AOB is 60, the degree measure of the arc AB is also 60.

Since the full circle is 360, the arc AB is 60/360 = 1 / 6th part.

Then Larc = L / 6 = 60 * n / 6 = 10 * n cm.

You can apply the arc length formula.

L = n * R * α / 180 = n * 30 * 60/180 = 10 * n = cm.

Answer: The length of the arc is 10 * n cm.