Question

A circle has ____________ number(s) of equal chords.

Answer 1

Hint: Here, we will find the definition of the chord then we will try to find one example of this.

Complete step-by-step answer:
We know that, the joining straight line between any two points on the circumference of a circle is called the chord.
So if we take any two points on the circle there lies a chord we can make an infinite number of points on the circumference of the circle for joining each point we need chord.
Among the infinite chords we will name the greatest chord as the diameter of the circle.
Since there are an infinite number of points on the circumference of the circle which are joined by an infinite number of chords we can come to the following conclusion.
That there could be infinite numbers of chords in the circle.
Hence, we have found that a circle has infinite numbers of equal chords.

Additional information:
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.
If the line extensions (secant lines) of chords AB and CD intersect at a point P, then their lengths satisfy AP·PB = CP·PD this is known as the power point theorem in geometry.

Note: The greatest chord of the circle is known as diameter. We can plot infinite numbers of points in the circumference of the circle. So, infinite numbers of chords can be drawn for a circle.