# definition of chord of a circle

## What is the chord of a circle definition?

A chord of a circle is a straight line segment whose endpoints both lie on the circle . The infinite line extension of a chord is a secant line, or just secant. More generally, a chord is a line segment joining two points on any curve, for instance, an ellipse. The word chord is from the Latin chorda meaning bowstring.

## What is chord of a circle with example?

A line segment connecting two points on a curve. Example : the line segment connecting two points on a circle’s circumference is a chord . When the chord passes through the center of a circle it is called the diameter.

## What is the formula of chord?

r is the radius of the circle. c is the angle subtended at the center by the chord . Chord Length Formula .

Formula to Calculate Length of a Chord | |
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Chord Length Using Perpendicular Distance from the Center | Chord Length = 2 × √(r^{2} − d^{2}) |

Chord Length Using Trigonometry | Chord Length = 2 × r × sin(c/2) |

## Is a radius a chord?

Any segment which connects two different points on a circle is a chord . The radius of a circle connects the centre and one point on the circle. Hence a radius cannot be called a chord .

## How many chords are in a circle?

Chords and regions 2 chords divide a circle into 4 regions.

## What is the shortest chord of a circle?

shortest chord through a point inside a circle is perpendicular o the line joining the center and that point.

## What is a radius in a circle?

In classical geometry, a radius of a circle or sphere is any of the line segments from its center to its perimeter, and in more modern usage, it is also their length. The name comes from the Latin radius , meaning ray but also the spoke of a chariot wheel.

## Which is a chord but not a diameter?

A diameter satisfies the definition of a chord , however, a chord is not necessarily a diameter . This is because every diameter passes through the center of a circle, but some chords do not pass through the center. Thus, it can be stated, every diameter is a chord , but not every chord is a diameter .

## What is the height of a chord?

The sagitta is the vertical line from the midpoint of the chord to the arc itself. It is a measure of the ‘ height ‘ of the arc. The length of the chord , sagitta and radius of the arc are inter-related, and if you know any two you can calculate the third.

## What is the area of chord?

The area of a segment can be calculated in radians using the following formula: A = (½) × r^{2} (θ – Sin θ)

## What are the parts of the circle?

Important Circle Parts Radius: The distance from the center of the circle to its outer rim. Chord: A line segment whose endpoints are on a circle . Diameter: A chord that passes through the center of the circle . Secant: A line that intersects a circle in two points.

## What is the relationship between a chord and a radius?

The radius of a circle is any line segment connecting the centre of the circle to any point on the circle. The chord of a circle is a line segment joining any two points on the circle. The chord of a circle which passes through the centre of the circle is called the diameter of the circle.

## Are all chords in a circle congruent?

If two chords of a circle are congruent , then they determine central angles which are equal in measure. If two chords of a circle are congruent , then their intercepted arcs are congruent . Two congruent chords in a circle are equal in distance from the center.

## Does a radius bisect a chord?

If a radius of a circle is perpendicular to a chord in the circle, then the radius bisects the chord . Two chords are congruent if, and only if, they are equidistant from the center of the circle.