Question

Fill in the blanks
The largest chord of a circle is a ____ of the circle

Answer 1

Hint: A line segment joining any of the two points lying on the circle is called as a chord of the circle. Use this definition and try to deduce the answer for the given fill in the blank question.

Complete step-by-step answer:
As per the definition of the chord of a circle, we can deduce that any two points on the circle when connected to each other with a segment, then that line segment is called as the chord of that particular circle.
Consider the circle with the centre $ J $ as shown in the figure.

Line segments $ MR{\rm{ }},NQ,{\rm{ }}KL $ are passing through the centre $ J $ . Other line segments $ MN $ and $ QR $ are made up from the points lying on the circle.
As per the definition of the chord of a circle, segments, $ MR,{\rm{ }}NQ,\;KL,\;MN,\;QR $ fit the definition of the chord of a circle. So, $ MR,{\rm{ }}NQ,\;KL,\;MN,\;QR $ are the chords of the given circle.
The line segment passing through the centre of the circle is called the diameter of the circle. Segments $ MR,{\rm{ }}NQ,{\rm{ }}KL $ are diameters of the circle as they pass through the centre of the circle and are made up of points lying on the circle.
On observing the figure, we can sense that the dimensions of segment $ MN,{\rm{ }}QR $ is lesser than the diameter of the circle. It seems that there is no other chord which is greater than the diameter of the circle.
Hence, the largest chord of a circle is a diameter of the circle

Note: Students should remember the basic terminologies and their definitions with respect to a circle in order to easily find the answer to this question. There is a possibility of spelling mistakes in fill in the blanks question, that must be noted.