# How to find the length of a chord

## Circular segment

Therefore, each of these triangles is a triangle, meaning that each half of our chord is simply half the length of the hypotenuse (our radius which is 6).

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If you can't find what you're looking for, or you have an idea for a calculator that would be helpful to you, let us know. The Chord of a Circle calculator computes the length of a chord d on a circle based on the radius r of the circle and the length of the arc a. Chord of a Circle d : The calculator compute the length of the chord d in meters. However, this can be automatically converted to other length units via the pull-down menu. Close We're listening.

Find the length of chord. Therefore, it also bisects our central angle, meaning that. Therefore, each of these triangles is a triangle, meaning that each half of our chord is simply half the length of the hypotenuse our radius which is 6. Therefore, each half is 3, and the entire chord is 6 feet. Draw a segment perpendicular to the chord from the center, and this line will bisect the chord.

The length - L - of a chord when dividing a circumference of a circle into equal number of segments can be calculated from the table below. To calculate the actual length of a chord - multiply the "unit circle" length - L - with the radius for the the actual circle. A circle with radius 3 m is divided in 24 segments. From the table below: the length - L - of a single chord in a "unit circle" with 24 segments is 0. Add standard and customized parametric components - like flange beams, lumbers, piping, stairs and more - to your Sketchup model with the Engineering ToolBox - SketchUp Extension - enabled for use with the amazing, fun and free SketchUp Make and SketchUp Pro.

A chord is a line segment connecting any two points on the circumference of a circle., By using our site, you acknowledge that you have read and understand our Cookie Policy , Privacy Policy , and our Terms of Service. Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields.

## Intermediate Geometry : How to find the length of a chord

Circular segment - is an area of a circle which is "cut off" from the rest of the circle by a secant chord. On the picture: L - arc length h - height c - chord R - radius a - angle. If you know radius and angle you may use the following formulas to calculate remaining segment parameters:. Area: [1] Arc length: Chord length: Segment height:. But if you don't know radius and angle you still can caluclate the segment parameters by chord length and segment height:.

A chord of a circle is a straight line segment whose endpoints both lie on the circle. A secant line , or just secant , is the infinite line extension of a chord. More generally, a chord is a line segment joining two points on any curve, for instance an ellipse. A chord that passes through a circle's center point is the circle's diameter. Every diameter is a chord, but not every chord is a diameter. Among properties of chords of a circle are the following:.

A portion of a disk whose upper boundary is a circular arc and whose lower boundary is a chord making a central angle radians , illustrated above as the shaded region. The entire wedge-shaped area is known as a circular sector. Circular segments are implemented in the Wolfram Language as DiskSegment [ x , y , r , q 1, q 2 ]. Elliptical segments are similarly implemented as DiskSegment [ x , y , r 1, r 2 , q 1, q 2 ]. Let be the radius of the circle , the chord length, the arc length , the height of the arced portion, and the height of the triangular portion.

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## 4 thoughts on “How to find the length of a chord”

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Arc Length, Chord and Area of a sector - Geometry Calculator