State whether each of the following statements is true or false:
$(1)$ $A$ piece of a circle between two points on a circle is called an arc of the circle.
$(2)$ The length of the complete circle is called its circumference.
$(1)$ $A$ piece of a circle between two points on a circle is called an arc of the circle.
$(2)$ The length of the complete circle is called its circumference.
(A) $(1)$ True. By definition,an arc is a portion of the circumference of a circle between any two points on it.
$(2)$ True. The total distance around the boundary of a circle is defined as its circumference.
$(2)$ True. The total distance around the boundary of a circle is defined as its circumference.
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