Intro to Circles Quiz
Questions: 16 · 10 minutes
1. Three non-overlapping central angles fill an entire circle. Two measure 95° and 120°. What is the measure of the third angle?
125°
145°
155°
215°
2. A segment has both endpoints on a circle and passes through the center. What is the segment called?
A radius
A diameter
A chord that cannot be a diameter
A central angle
3. In one circle, chord P is intercepted by a 100° central angle and chord Q by a 70° central angle. Which comparison is correct?
Chord Q is longer because 70° is the smaller angle
The chords are equal because they belong to the same circle
Chord P is longer because it corresponds to the larger central angle
Their lengths cannot be compared without the numerical radius
4. A segment connects the center of a circle to a point on the circle. Which term describes it?
Circumference
Chord
Radius
Diameter
5. A central angle measures 72°. What is the measure of its intercepted minor arc?
288°
36°
144°
72°
6. A chord passes through the center of its circle. Which additional statement must be true?
It has the same length as a radius
It divides the circle into a minor arc and a major arc
It is a diameter and divides the circle into two semicircles
Its endpoints form a 90° central angle
7. Which statement best defines a circle?
A closed figure whose boundary is made from several equal arcs
The region consisting of all points inside a curved boundary
The set of all points in a plane that are the same distance from a fixed point
The set of points that are equally distant from two fixed endpoints
8. Points A and B are endpoints of a diameter. What is the measure of either arc from A to B that forms a semicircle?
90°
180°
360°
It depends on the circle's radius
9. A circular tabletop has a diameter of 18 inches. What is its radius?
6 inches
9 inches
18 inches
36 inches
10. When are two circles congruent?
When they have equal radii
When their centers are at the same point
When they intersect at two points
When their circumferences are drawn with the same line thickness
11. The sides of a central angle point in exactly opposite directions. How should either intercepted arc between their endpoints be classified?
A semicircle
A minor arc
A quarter-circle arc
A major arc greater than 180°
12. A minor arc measures 135°. What is the measure of the central angle that intercepts it?
135°
67.5°
225°
270°
13. In the same circle, central angles A and B both measure 64°. What can you conclude about their intercepted minor arcs?
The arcs are congruent and each measures 64°
One arc must be twice the measure of the other
The arcs are congruent and each measures 32°
Their measures cannot be compared without knowing the radius
14. Two radii form a 110° central angle. What is the measure of the major arc determined by their endpoints?
110°
180°
220°
250°
15. Which description correctly identifies a central angle?
An angle with its vertex anywhere inside a circle
An angle whose sides are both chords
An angle with its vertex on the circle
An angle with its vertex at the center and sides along radii
16. Adjacent minor arcs AB and BC measure 48° and 67°, respectively. If their combined arc from A through B to C is less than a semicircle, what is its measure?
19°
105°
245°
115°