Circle Chord Length Calculator: Find Chord Length from Radius, Angle or Distance

Calculate Your Circle's Chord Length

Method 1: Using Radius & Central Angle

Radius (r):

Please enter a positive radius.

Central Angle (θ):

Please enter a valid central angle (0-360 degrees or 0-2π radians).

Method 2: Using Radius & Distance from Center

Radius (r):

Please enter a positive radius.

Perpendicular Distance from Center (d):

Please enter a valid distance (must be less than or equal to radius).

Discover how to calculate the chord length of any circle with our intuitive online tool. Whether you have the radius and central angle, or the radius and perpendicular distance from the center to the chord, our calculator provides instant, accurate results. Perfect for geometry, engineering, and design applications.

Formula:

There are two primary formulas to calculate the chord length (L) of a circle:

Using Radius (r) and Central Angle (θ):
L = 2r sin(θ/2)
Where:
- L = Chord Length
- r = Radius of the circle
- θ = Central angle subtended by the chord (in radians)
Using Radius (r) and Perpendicular Distance (d) from Center:
L = 2√(r² - d²)
Where:
- L = Chord Length
- r = Radius of the circle
- d = Perpendicular distance from the center of the circle to the chord

Mathematics and Geometry Tools

Circle Chord Length Calculator: Find Chord Length from Radius, Angle or Distance

Calculate Your Circle's Chord Length

Method 1: Using Radius & Central Angle

Method 2: Using Radius & Distance from Center

Calculation Result

Formula:

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