Convertools

Arc Length from Radius and Angle

Calculate arc length from radius and central angle in degrees using s = rθ (with θ in radians).

Author

Prof. Oleksandr Kovalenko

Math editorial contributor

Ukrainian cybersecurity researcher at ETH Zurich, focused on post-quantum cryptographic protocols

Reviewed by

Prof. Kenji Tanaka

Math content reviewer

Japanese materials scientist at Kyoto University, known for breakthroughs in sustainable polymer research

Last updatedFebruary 22, 2026

PublishedFebruary 22, 2026

Table of Contents

  1. Reference values
  2. Calculator
  3. Reference table
  4. FAQs
  5. Methodology and review
  6. Related conversions

3 units Radius; 45 deg Angle (degrees) =

2.356194 units

Representative value from the Arc Length from Radius and Angle reference table.

Reference Values

Browse 25 reference values with individual detail pages for quick lookup.

Browse all reference values

Arc Length from Radius and Angle

Calculate arc length from radius and central angle in degrees using s = rθ (with θ in radians).

Calculated Result

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Reference Table

Use this complete table for quick lookup and internal linking to specific value pages.

Arc Length from Radius and Angle Reference
ScenarioArc Length
1 units Radius; 15 deg Angle (degrees)0.261799 units
1 units Radius; 30 deg Angle (degrees)0.523599 units
1 units Radius; 45 deg Angle (degrees)0.785398 units
1 units Radius; 60 deg Angle (degrees)1.047198 units
1 units Radius; 90 deg Angle (degrees)1.570796 units
2 units Radius; 15 deg Angle (degrees)0.523599 units
2 units Radius; 30 deg Angle (degrees)1.047198 units
2 units Radius; 45 deg Angle (degrees)1.570796 units
2 units Radius; 60 deg Angle (degrees)2.094395 units
2 units Radius; 90 deg Angle (degrees)3.141593 units
3 units Radius; 15 deg Angle (degrees)0.785398 units
3 units Radius; 30 deg Angle (degrees)1.570796 units
3 units Radius; 45 deg Angle (degrees)2.356194 units
3 units Radius; 60 deg Angle (degrees)3.141593 units
3 units Radius; 90 deg Angle (degrees)4.712389 units
5 units Radius; 15 deg Angle (degrees)1.308997 units
5 units Radius; 30 deg Angle (degrees)2.617994 units
5 units Radius; 45 deg Angle (degrees)3.926991 units
5 units Radius; 60 deg Angle (degrees)5.235988 units
5 units Radius; 90 deg Angle (degrees)7.853982 units
8 units Radius; 15 deg Angle (degrees)2.094395 units
8 units Radius; 30 deg Angle (degrees)4.18879 units
8 units Radius; 45 deg Angle (degrees)6.283185 units
8 units Radius; 60 deg Angle (degrees)8.37758 units
8 units Radius; 90 deg Angle (degrees)12.566371 units

Frequently Asked Questions

Common questions about Arc Length from Radius and Angle, formulas, and typical use cases.

What does the Arc Length from Radius and Angle calculator do?

It helps with finding curved edge lengths for circular segments and layout arcs.

What formula does the Arc Length from Radius and Angle calculator use?

Arc length = radius × angle(in radians) = π × radius × degrees / 180.

What inputs are valid?

Radius and angle should be zero or greater for standard arc-length calculations.

When would I use this?

finding curved edge lengths for circular segments and layout arcs

Methodology and Review

This page combines a live calculator, precomputed reference values, and FAQ content from the same conversion definition to reduce mismatch between calculator output and lookup tables.

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