Is every diameter of a circle also a chord?

Answer

To determine whether every diameter of a circle is also a chord, we can follow these steps:

### Step 1: Define a Circle
A circle is defined as the set of all points in a plane that are at a fixed distance (the radius) from a central point (the center).

**Hint:** Remember that the center is the point from which all points on the circle are equidistant.

### Step 2: Define a Chord
A chord is a line segment whose endpoints both lie on the circle. It connects two points on the circumference of the circle.

**Hint:** Think of a chord as a line that "cuts" through the circle, connecting two points on its edge.

### Step 3: Define a Diameter
A diameter is a special type of chord that passes through the center of the circle. It connects two points on the circle and is the longest chord possible in a circle.

**Hint:** The diameter is always twice the length of the radius and is the longest line segment you can draw within the circle.

### Step 4: Analyze the Relationship
Since a diameter connects two points on the circle (the endpoints of the diameter) and both of these points lie on the circumference, it meets the definition of a chord.

**Hint:** Visualize the circle and the diameter; see how it touches the circle at both ends.

### Step 5: Conclusion
Since every diameter meets the criteria of a chord (both endpoints touching the circle), we can conclude that every diameter of a circle is indeed a chord.

**Final Answer:** Yes, every diameter of a circle is also a chord.

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