Learn How to Calculate Chord Length of Circle - Tutorial

How to Calculate Chord Length of Circle - Definition, Formula and Example

Definition:

Chord of a circle is a line segment whose ends lie on the circle.

Formula:

chord length Chord length = 2r2 - d2
where,
r = radius of the circle d = perpendicular distance from the chord to the circle center
Example :
chord length example

Find the chord of a circle where radius is 5 cm and perpendicular distance from chord to center is 4 cm?

Given

Radius r = 5 cm Distance d = 4 cm

To Find

Chord length of circle

Solution:
Chord length = 2r2 - d2
Chord length = 2 52 - 42
= 2 25 - 16
= 2 9
= 2 x 3
= 6 cm

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