Arc Length of Circular Arc given Circumference Calculator

Calculate Arc Length





Formula

The formula to calculate the Arc Length of Circular Arc (lArc) is:

\[ l_{\text{Arc}} = \frac{C_{\text{Circle}} \cdot \angle_{\text{Arc}}}{2 \pi} \]

Definition

Arc Length of Circular Arc is the length of a piece of the boundary of a circle cut at a particular central angle. Circumference of Circle of Circular Arc is the total length of the boundary of the circle from which the Circular Arc is formed. Angle of Circular Arc is the angle subtended by the end points of a Circular Arc with the center of the circle from which the arc is formed.

Example Calculation

Let's assume the following values:

Using the formula:

\[ l_{\text{Arc}} = \frac{30 \cdot 0.698131700797601}{2 \pi} \approx 3.33333333333271 \]

The Arc Length of the Circular Arc is approximately 3.33333333333271 Meter.

Conversion Chart

Circumference (Meter) Angle (Radian) Arc Length (Meter)
10 0.6981317007976 1.111111111110903
20 0.6981317007976 2.222222222221806
30 0.6981317007976 3.333333333332709
40 0.6981317007976 4.444444444443612
50 0.6981317007976 5.555555555554514