# How to find the length of a chord

- Circular segment
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- Intermediate Geometry : How to find the length of a chord
- Arc Length, Chord and Area of a sector - Geometry Calculator

## 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).

how free with getIf 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.

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

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