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Arc Length Calculator

What Is Arc Length Calculator?

In geometry, the arc length of a circle is the distance along the curved line forming part of the circumference. It is especially useful when dealing with circular sectors – portions of a circle defined by a central angle. The formula to calculate the arc length when the angle is provided in degrees is:

The formula for the arc length of a circle is given by:

$$ L = \frac{\pi \, r \, \theta}{180} $$

where:

  • \(L\) is the arc length,
  • \(r\) is the radius of the circle,
  • \(\theta\) is the central angle in degrees,
  • \(\pi\) is approximately 3.141592654.

Manually calculating arc lengths can be time-consuming, especially if you have to repeat the process multiple times. Our Arc Length Calculator automates the process – simply input your radius and angle, and get an instant, precise result. This efficiency is invaluable when working under tight deadlines or juggling multiple projects.

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