the circumference of a circle can be calculated using the following equation; circumference = 2πr The radius of the given circle = 6 in. The circumference of the circle = 2π *6 = 12π in. circumference of a complete circle is when the central angle is 360°. we are asked to find the length of an arc when the central angle is 45°. the length when central angle is 360° = 12π therefore when central angle is 45° = 12π /360 * 45 the length of the arc = 1.5π in.