State whether each of the following statements is true or false:
$(1)$ For any two points on a circle,the line segment joining them is called a chord of the circle.
$(2)$ The length of a diameter of a circle is half the length of its radius.
$(1)$ For any two points on a circle,the line segment joining them is called a chord of the circle.
$(2)$ The length of a diameter of a circle is half the length of its radius.
(A) $(1)$ True. $A$ chord is defined as a line segment whose endpoints lie on the circle.
$(2)$ False. The length of a diameter of a circle is twice the length of its radius,i.e.,$d = 2r$.
$(2)$ False. The length of a diameter of a circle is twice the length of its radius,i.e.,$d = 2r$.
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