(a) Is every diameter of a circle also a chord?
(b) Is every chord of a circle also a diameter?

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Solution

A chord of a circle is a straight line segment whose endpoints both lie on a circular arc. When the chord passes through the centre of a circle, it is called the diameter.
(a) Yes, every diameter of a circle is also a chord because a chord of a circle is any line segment joining two points on the circle’s circumference.
(b) No, every chord of a circle is not a diameter because the diameter passes through the circle’s centre.
Therefore, every diameter of a circle is also a chord, and every chord of a circle is not a diameter.

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