The line segment that joins any two points on the circle and passes through its center

Answer (Detailed Solution Below)

Option 2 : Chord

Circle: It is a closed curve consisting of a set of all points in a plane that are equally distant from a given point.

Chord: The line segment joining any two points of a circle is known as a chord of circle.
Diameter: The line segment joining two points (also passing through the centre) is called a diameter. It is the longest chord of a circle.
Arc: When two cuts are made on the circumference of a circle, that part is called an arc. The one larger in size is called the major arc, while the another one is the minor arc.
Angle: It is the clock-wise or anti-clockwise rotation of a line. It is formed by the intersection of two lines. It is measured in degrees and radians generally.

Hence, we conclude that the above statement is of chord.

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The radius of a circle is the line segment joining its center and any point on its circumference. It is usually denoted by ‘r’ and is half of the diameter.

An arc is a part of a complete circle. It is not a line segment as it is not straight. It is a fraction of the circumference of a complete circle

This is an arc of a quarter circle. From the definition of the three figures, we can clearly see that a chord satisfies the definition in the question, that is, a line segment joining two points on a circle. Hence, the correct option is A. Note: In such types of questions, we should always remember the definition of different types of geometric figures in a circle. Here, we needed to have complete knowledge of all the three figures- chord, radius, and arc. Sometimes the definition stated in the question is altered in order to confuse us, so we should always make a relevant diagram and check if it satisfies the equation or not.