State whether each of the following statements is true or false:
$(1)$ $A$ line segment joining any two points of a circle is a diameter of the circle.
$(2)$ For any circle, $\text{diameter} = 2 \times \text{radius}$.
$(3)$ In a circle with radius $14 \text{ cm}$, the length of a chord can be $32 \text{ cm}$.

(N/A) $(1)$ False. $A$ line segment joining any two points of a circle is called a chord. $A$ diameter is a special type of chord that passes through the center of the circle.
$(2)$ True. By definition, the diameter is the longest chord of a circle and its length is exactly twice the radius $(d = 2r)$.
$(3)$ False. The longest chord of a circle is the diameter. For a circle with radius $r = 14 \text{ cm}$, the diameter is $d = 2 \times 14 \text{ cm} = 28 \text{ cm}$. Since the length of any chord cannot exceed the diameter, a chord of length $32 \text{ cm}$ is impossible in this circle.