definition of a chord of a circle

What is a chord in a circle?

A chord of a circle is a straight line segment whose endpoints both lie on the circle . 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.

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.

How do you draw a chord of a circle?

Center of Circle Draw a line across the circle to make a ” chord ” Construct the perpendicular bisector of that chord to make a diameter of the circle . Construct the perpendicular bisector of that diameter to get the center of the circle .

What is the definition of a circle in math?

A circle is a round shaped figure that has no corners or edges. In geometry , a circle can be defined as a closed, two-dimensional curved shape.

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
Chord Length Using Perpendicular Distance from the Center Chord Length = 2 × √(r2 − d2)
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.

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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.

How many equal chords are there in a circle?

two chords

How do you name a circle?

A circle is named by its center. Thus, the circle to the right is called circle A since its center is at point A. Some real world examples of a circle are a wheel, a dinner plate and (the surface of) a coin. The distance across a circle through the center is called the diameter.

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.

How do you find the chord angle?

If two chords intersect inside a circle, then the measure of the angle formed is one half the sum of the measure of the arcs intercepted by the angle and its vertical angle . In the figure, m∠1=12(m⌢QR+m⌢PS) .

What is the best definition of a circle?

A circle is a shape consisting of all points in a plane that are a given distance from a given point, the centre; equivalently it is the curve traced out by a point that moves in a plane so that its distance from a given point is constant.

What is the unique characteristics of circle?

Circle Properties The circles are said to be congruent if they have equal radii. The diameter of a circle is the longest chord of a circle . Equal chords and equal circles have the equal circumference. The radius drawn perpendicular to the chord bisects the chord.

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What’s the center of a circle called?

focus