Longest chord of the circle is:

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Diameter

Chord

Radius

None of these

answer is A.

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Detailed Solution

Concept- A chord is just a line segment that connects any two points on a circle. The chord that runs through the centre of the circle will be its longest chord. The diameter of a circle is the chord that runs across its centre.
Now, we want to determine which chord in the circle is the longest.
Let's first explore some of the terminology used while constructing geometric figures.
First, think about the point, a 0 dimensional object.
A dot is all that a point is. It is neither long nor wide.
Let's now examine the concept of a line segment. Line segments are just two points connected by a straight line. Given that there are two points A and B, only one line can cross between them. Line segment AB will be the name of the segment.
Let's now examine the circle as a geometric figure. All of the points of a circle are equally spaced apart from one another. The radius of a circle is the distance between any two points on it and one specific point, which is referred to as the circle's centre.
Let's use centre A to draw a circle.
Question Image

A circle's chord is a segment of a line that connects any two points on the circle.
Think about the following line segments as an example.
Question Image

PQ, ST, and LM are now the chords of the circle with A as its centre in this figure.
Now that we are aware, we can see that the circle's longest chord goes through its centre.
The diameter is the term used to describe the chord that runs through the centre.
As a result, the circle's diameter is the longest chord.
Hence, the correct answer is an option (1).

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