Question

A line segment joining two points on a circle is-
A. chord
B. radius
C. arc
D. none of these

Answer 1

Hint: A line segment is a one-dimensional figure having a finite length and joins two fixed points is a 2-D or 3-D plane. We will analyze each and every option, and check if they satisfy the definition given in the question or not.

Complete step-by-step solution -
A chord is a line segment in the interior of the circle which joins any two points on its circumference. In fact, the diameter of a circle is the longest chord of the circle.

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.