Arc Length Calculator - Calculate the Length of an Arc of a Circle

Arc Length of a Circle Calculator

Radius (r)

Central Angle

degrees

Arc Length Calculator Results

Arc Length (S) =

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The Arc Length Calculator is a useful tool for finding the length of an arc of a circle. In this tutorial, we'll show you how to use the calculator and provide you with some examples to help you understand how it works.

Step 1: Enter the Angle and Radius of the Circle

The first step is to enter the angle and radius of the circle into the input boxes on the calculator. Make sure to enter the values in the correct format and with the appropriate units.

Step 2: Calculate the Arc Length

Once you've entered the angle and radius, click the "Calculate Arc Length" button on the calculator. Our Arc Length Calculator will then display the length of the arc of the circle.

L = (θ/360) * 2 * π * r

As you can see from the formula above, the length of an arc of a circle is calculated by multiplying the central angle (in degrees) of the arc by the radius, multiplying the result by 2π and dividing by 360.

Examples

Let's look at some examples to see how the Arc Length Calculator works:

A circle with a radius of 5 units and a central angle of 60 degrees has an arc length of 5.24 units.

A circle with a radius of 10 units and a central angle of 120 degrees has an arc length of 20.94 units.

A circle with a radius of 12 units and a central angle of 270 degrees has an arc length of 67.02 units.

As you can see from these examples, our Arc Length Calculator can calculate the length of an arc of a circle quickly and accurately.

Conclusion

The Arc Length Calculator is a valuable tool for finding the length of an arc of a circle. By following the simple steps outlined in this tutorial, you can quickly and accurately calculate the arc length of a circle using its radius and central angle. Try it out for yourself and see how easy it is!

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