Why is a chord not a diameter?

A chord is a line segment that joins two points on a curve. 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.

What is the relationship between chord and diameter?

Chords are equidistant from the center if and only if their lengths are equal. Equal chords are subtended by equal angles from the center of the circle. A chord that passes through the center of a circle is called a diameter and is the longest chord of that specific circle.

Can a chord also be a diameter?

(a) Yes , every diameter of a circle is a chord.

How many diameters does a circle have?

The diameter of a circle is a segment whose endpoints lie on the circle and whose midpoint is the center of the circle. The distance from the center to a point on the circle is called a radius. Every circle has an infinite number of possible diameters.

What is the difference between chord and segment?

A chord is a straight line joining two points on the circumference of a circle. A segment is an area enclosed by a chord and an arc.

What is chord of a circle and example?

By definition, a chord is a straight line joining 2 points on the circumference of a circle. The diameter of a circle is considered to be the longest chord because it joins to points on the circumference of a circle. In the circle below, AB, CD, and EF are the chords of the circle.

Is chord smaller than diameter?

A segment of a straight line joining two points on a circle is called a chord; a chord that passes through the center of the circle is called a diameter. Of straight lines in a circle the diameter is greatest, and of the rest the nearer to the center is always greater than the more remote.

Can a chord go through the center of a circle?

A chord is a line segment whose endpoints are on a circle. If a chord passes through the center of the circle, it is called a diameter.

Is chord a secant?

Secant of the Circle Definition A chord is the line segment that joins two distinct points of the circle. A chord is in a unique secant line and every secant line defines a unique chord.

What is the difference between a diameter and a chord?

A chord is any line segment going from one side of the circle to another. A diameter is a special chord – it is a chord that goes through the center of the circle. It is also the biggest chord possible in the circle. So all diameters are chords, but all chords are not diameters.

Are all diameters chords in a circle?

The parts of a circle include a radius, diameter and a chord. All diameters are chords, but not all chords are diameters . A plane is a flat surface that extends without end in all directions. A circle divides the plane into three parts: The points inside the circle, the points outside the circle and the points on the circle.

Is every chord of a circle also a diameter?

Yes, Chord is a line joining two points of the circle. Diameter is a line two points of the circle, and passes through the center. So, all diameter are chords. Ex 4.6, 2 (b) Is every chord of a circle also a diameter? . . No Here, AB is a chord, but it doesn’t pass through center. So, every chord is not a diameter of the chord.

Is diameter always a chord?

Answers. A chord is a line which touches two points on the circle where as diameter is a line which touches two points on the circle but passes through the center of a circle so diameter can be alse called chord but chord can not be called diameter because it doesnot pass through center.so right option is C. A diameter is always a chord.