Is The Radius A Chord?

by | Last updated on January 24, 2024

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The radius of a 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.

Is a diameter a chord?


A chord that passes through the center of a circle

is called a diameter and is the longest chord of that specific circle.

Is radius a chord give reason?

Answer: True;

because the distance between centre and any point on circumference is called radius

. (ii) A circle has only finite number of equal chords. Answer: False, because a circle can haev infinite number of equal chords. (iii) If a circle is divided into three equal arcs, each is a major arc.

Does the radius always 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.

Can a radius be considered a chord?

Radius: A circle's radius — the distance from its center to a point on the circle — tells you the circle's size. In addition to being a measure of distance, a radius is also a segment that goes from a circle's center to a point on the circle. Chord:

A segment that connects two points on a circle

is called a chord.

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.

How is a radius named?

A circle is a shape with all points the same distance from its center. A circle is named

by its center

. … The radius of a circle is the distance from the center of a circle to any point on the circle. If you place two radii end-to-end in a circle, you would have the same length as one diameter.

What is the formula of chord?

Chord Length Formula Using Perpendicular Distance from the Centre Chord Length = 2 × √(r2 – d2) Chord Length Formula Using Trigonometry Chord

Length = 2 × r × sin(c/2)

What is the measure of the longest chord?

Properties of a Chord


The diameter

is the longest chord of a circle, whereby the perpendicular distance from the center of the circle to the chord is zero.

Is a radius half the diameter?

The radius of a circle is the length of the line segment from the center of a circle to a point on the circumference of the circle and diameter is a line segment from one end of the circle to the other end of the circle passing through the center of the circle. So, the radius is

half the length of the diameter

.

What is twice the radius?

By extension,

the diameter d

is defined as twice the radius: If an object does not have a center, the term may refer to its circumradius, the radius of its circumscribed circle or circumscribed sphere.

Is circle is a plane figure True or false?


True

. A circle is a plane figure.

Which is true radius is the distance between?

The distance from the center of a circle to a point on the circle. Try this Drag the orange dot. The blue line will always remain a radius of the circle. The radius of a circle is

the length of the line from the center to any point on its edge

.

What is the measure of the radius?

The radius of a circle is

the straight-line distance from the very center of the circle to any point on the circle

.

Are two chords always have the same length?


Two chords always have the same length

. … All chords intersect at one point. 6. A radius is not a chord.

What will be true of the arcs between parallel chords?

Arcs between parallel chords

are congruent

. In this lesson, students use concepts studied earlier in this module to prove three new concepts: Congruent chords have congruent arcs; congruent arcs have congruent chords; arcs between parallel chords are congruent.

David Martineau
Author
David Martineau
David is an interior designer and home improvement expert. With a degree in architecture, David has worked on various renovation projects and has written for several home and garden publications. David's expertise in decorating, renovation, and repair will help you create your dream home.