Angle of Circular Arc given Arc Length and Circumference Calculator

Calculate Angle of Circular Arc





Formula

The formula to calculate the Angle of Circular Arc (∠Arc) is:

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

Definition

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. It is measured in Radian.

Example Calculation

Let's assume the following values:

Using the formula:

\[ ∠Arc = \frac{2 \cdot \pi \cdot 4}{30} \approx 0.837758040957278 \]

The Angle of Circular Arc is approximately 0.837758040957278 Radian.

Conversion Chart

Arc Length (Meter) Angle of Circular Arc (Radian)
1 0.209439510239320
2 0.418879020478639
3 0.628318530717959
4 0.837758040957278
5 1.047197551196598
6 1.256637061435917
7 1.466076571675237
8 1.675516081914556
9 1.884955592153876
10 2.094395102393195