Arc Length Calculator

Calculate arc length, sector area, and chord length

Arc
Radius
Chord
Sector
Common angles:

Enter radius and angle above to calculate arc properties

Arc Formulas

Arc Length
L = r * theta
Sector Area
A = (1/2) * r^2 * theta
Chord Length
c = 2r * sin(theta/2)

About Arc Length

An arc is a portion of a circle's circumference defined by a central angle. The arc length is the distance along the curved line from one endpoint of the arc to the other.

The sector is the pie-shaped region bounded by two radii and the arc. Its area is proportional to the central angle -- a 90-degree sector is exactly one quarter of the full circle's area.

The chord is the straight-line distance between the two endpoints of the arc. Together, the chord and the arc enclose a region called a segment.

All formulas use the angle in radians. One full revolution = 2*pi radians = 360 degrees. To convert degrees to radians, multiply by pi/180.

Privacy & Limitations

  • All calculations run entirely in your browser -- nothing is sent to any server.
  • Results are computed using standard formulas and should be verified for critical applications.

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Arc Length Calculator FAQ

What is Arc Length Calculator?

Arc Length Calculator is a free geometry tool that helps you Calculate arc length, sector area, and chord length from radius and angle.

How do I use Arc Length Calculator?

Enter your input values, review the calculated output, and adjust inputs until you reach the result you need. The result updates in your browser.

Is Arc Length Calculator private?

Yes. Calculations run locally in your browser. Inputs are not uploaded to a server by default, and refreshing the page clears session data.

Does Arc Length Calculator require an account or installation?

No. You can use this tool directly in your browser without sign-up or software installation.

How accurate are results from Arc Length Calculator?

This tool applies standard formulas or deterministic processing logic for estimates. For medical, legal, tax, or investment decisions, verify with a qualified professional.

Can I save or share outputs from Arc Length Calculator?

You can bookmark this page and copy outputs manually. Results are not persisted in your account and are typically not embedded in the URL.

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