(a) Is Every Diameter of a Circle Also a Chord? (b) Is Every Chord of a Circle Also a Diameter?


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

The diameter of a circle is a straight line joining a point from one end of the circle to a point on the other end of the circle, passing through the center.

Answer: (a) Yes, every diameter of a circle is also a chord. (b) No, every chord of a circle is not a diameter.

We will use the definition of diameter to answer this question.

Explanation:

(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 circumference of the circle.

(b) No, every chord of a circle is not a diameter because diameter passes through the center of the circle.

Therefore, every diameter of a circle is also a chord and every chord of a circle is not a diameter.