Arc Length Calculator

Arc length is radius multiplied by central angle in radians. Formula: s = rθ for θ in radians; s = πrθ ÷ 180 for θ in degrees

Enter the radius of the circle and the central angle in degrees, then click the Calculate button.

Radius: Central Angle (degrees):

Result:

Find Arc Length

Arc length is radius multiplied by central angle in radians.

Formula: s = rθ for θ in radians; s = πrθ ÷ 180 for θ in degrees

Convert the inputs to compatible units before applying the equation. The formula may be correct even when mixed units produce an unusable result.

Read the final unit as part of the answer. It provides a quick dimensional check on the calculation.

References:

Arc Length Formula

What is Arc Length?

wikipedia source: Arc length

Frequently Asked Questions FAQ

What is the formula used by the Arc Length Calculator?

The formula used to calculate the arc length is: Arc Length = (Central Angle / 360 degrees) × (2 × π × Radius) Here, π (pi) is a mathematical constant approximately equal to 3.14159.

Can the calculator handle angles in both degrees and radians?

Yes, the Arc Length Calculator can handle angles given in either degrees or radians. It will convert the angle to the appropriate unit for the calculation.

What are some practical applications of arc length calculations?

Arc length calculations are commonly used in architecture, engineering, physics, and other fields where circular paths or curves are involved. They are essential for determining distances along curved tracks, the length of conveyor belts, or the design of circular structures.

Is the Arc Length Calculator accurate for any circle size?

Yes, the Arc Length Calculator is accurate for any circle size as long as the provided central angle and radius values are correct.

Can I use the calculator for irregular shapes or curves that are not perfect circles?

The Arc Length Calculator is specifically designed for circles. For irregular shapes or curves, different methods may be required to calculate arc lengths.

What is an Arc Length Calculator?

An online application called an arc length calculator determines the length of an arc on a circle depending on the circle's radius and central angle. Finding arc lengths, which are sections of a circle's circumference, is made easier.

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