Arc Length of Circular Arc Calculator

Calculate Arc Length of Circular Arc





Formula

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

\[ lArc = rArc \times \text{∠Arc} \]

Where:

Definition

Arc Length of Circular Arc is the length of a piece of the boundary of a circle cut at a particular central angle.

Radius of Circular Arc is the radius 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.

How to calculate the Arc Length of Circular Arc

Let's assume the following values:

Using the formula:

\[ lArc = rArc \times \text{∠Arc} \]

Evaluating:

\[ lArc = 5 \times 0.698131700797601 \]

The Arc Length of Circular Arc is 3.490658503988 meters.

Arc Length of Circular Arc Conversion Chart

Radius of Circular Arc (meters) Angle of Circular Arc (radians) Arc Length of Circular Arc (meters)
4 0.5 2.000000000000000
4 0.6 2.400000000000000
4 0.7 2.800000000000000
4 0.8 3.200000000000000
4 0.9 3.600000000000000
4 1 4.000000000000000
4.5 0.5 2.250000000000000
4.5 0.6 2.700000000000000
4.5 0.7 3.150000000000000
4.5 0.8 3.600000000000000
4.5 0.9 4.050000000000000
4.5 1 4.499999999999999
5 0.5 2.500000000000000
5 0.6 3.000000000000000
5 0.7 3.500000000000000
5 0.8 4.000000000000000
5 0.9 4.500000000000000
5 1 4.999999999999999
5.5 0.5 2.750000000000000
5.5 0.6 3.300000000000000
5.5 0.7 3.850000000000000
5.5 0.8 4.399999999999999
5.5 0.9 4.949999999999999
5.5 1 5.499999999999999
6 0.5 3.000000000000000
6 0.6 3.600000000000000
6 0.7 4.199999999999999
6 0.8 4.800000000000000
6 0.9 5.399999999999999
6 1 5.999999999999999