State whether the given statement is true or false.

Every diameter of a circle is also a chord?

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True

False

answer is A.

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Detailed Solution

The given statement is true.
Concept- Use the idea that a circle's diameter is its longest chord. If the chord leaves the circle's center, the diameter of the circle will result.
We must determine in the inquiry whether each circle's diameter likewise functions as a chord. In accordance with the meaning of the term "cord," we can infer that it refers to a line segment whose endpoint is located on the circumference of a circle. The line segment with its endpoints on the perimeter of the circle is now known as the diameter. The figure below displays the chord and diameter.
Question Image

Now, as can be seen, the chord is any other line segment that does not pass through the center of the circle, whereas the diameter is the line that extends from the circle's center O and is the longest chord. Also keep in mind that there are an endless number of diameters that may be drawn in a circle, each of which can be thought of as a chord, but not all chords are diameters. However, chords are unquestionably all diameters.
Hence, the given statement is true.

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