Arc Length Calculator
Arc Length Calculator computes the length of a circular arc from a radius and a central angle in degrees by multiplying the radius by the angle in radians, rounded to four decimals.
What this calculator does
The Arc Length Calculator estimates your result instantly from the values you enter, using standard math & conversions formulas. Arc Length Calculator computes the length of a circular arc from a radius and a central angle in degrees by multiplying the radius by the angle in radians, rounded to four decimals. Calculations run in your browser, so nothing you type is sent to a server, and the output is an estimate rather than a certified or official figure.
Result
About Arc Length Calculator
Give a radius and a central angle in degrees, and this calculator returns the arc length using L = r × θ, where the angle is converted to radians as degrees × π ÷ 180.
It is handy for laying out curved paths, gears, and circular segments.
Formula & Mathematical Calculation
Arc Length = f(Radius, Central Angle (degrees))
Calculated according to standard math formulas implemented in the calculator core.
Calculation Example
For a radius of 5 and a central angle of 90°, the tool converts the angle to radians and computes 5 × 90 × π ÷ 180 = 2.5 × π = 7.853981..., shown as an Arc Length of 7.854.
Key Benefits
- Turns a degree angle into arc length automatically
- Handles the degree-to-radian conversion internally
- Works for any radius and angle you supply
- Rounds the arc length to four decimals
How to Use this Calculator
-
Enter the radius
Type the circle radius into the Radius field. -
Enter the angle
Type the central angle in degrees into the Central Angle field. -
Calculate
Select Calculate and read the Arc Length result.
Assumptions & Limitations
What the calculation assumes
- Every value you enter is treated as an exact, known amount.
- Any rate or interval you enter is assumed to hold for the whole period unless the form asks for it separately.
- Results use standard published formulas and account only for the values entered above.
- Rounding is applied for display; the underlying calculation uses your full precision.
- Results are returned in the same units you enter, unless the tool states the output unit.
What it does not cover
- Arc Length Calculator produces a calculated result for reference and learning, not a certified or official measurement.
- Real-world outcomes differ when tolerances, rounding rules or local standards apply.
- Definitions and standards vary by region and change over time; verify the convention that applies to your case.
- Figures are only as accurate as the inputs you supply — check them before acting on the result.
- For work where the result carries real consequences, confirm it against an authoritative source.
Frequently Asked Questions
Free to use, no account needed. Calculations run in your browser, so nothing you type is sent to a server. Results are estimates — how we build and check our calculators.