Question

1 fill in the blank 1 point
an angle whose vertex is the center of a circle
angle pcq is a choose your answer... angle to circle c
2 fill in the blank 1 point
a circle that contains all the vertices of an inscribed polygon
the above circle represents a

Explanation:

1. For the first question, an angle with its vertex at the center of a circle is defined as a central angle.
2. For the second question, a circle that passes through all the vertices of an inscribed polygon is called a circumscribed circle (or circumcircle).

Answer:

1. Angle PCQ is a central angle to circle C
2. The above circle represents a circumscribed circle (circumcircle)