Geometry - Inscribed Angles and Arc Measures in Circles Quiz

Test your knowledge on inscribed angles and arc measures in circles with this geometry quiz. Practice central angles, intercepted arcs, and their relationships.

#1

In a circle, what is the measure of the central angle that intercepts a minor arc of 60 degrees?

30 degrees
60 degrees
120 degrees
180 degrees
#2

If an inscribed angle in a circle has a measure of 90 degrees, what is the measure of its intercepted arc?

45 degrees
90 degrees
180 degrees
360 degrees
#3

If the measure of an arc in a circle is 120 degrees, what is the measure of its corresponding central angle?

30 degrees
60 degrees
120 degrees
240 degrees
#4

What is the measure of an inscribed angle that intercepts a semicircle in a circle?

45 degrees
60 degrees
90 degrees
180 degrees
#5

In a circle, what is the relationship between the measure of a central angle and the measure of its intercepted arc?

They are equal
The angle is twice the measure of the arc
The angle is half the measure of the arc
There is no fixed relationship
#6

If an inscribed angle in a circle has a measure of 45 degrees, what is the measure of its intercepted arc?

45 degrees
90 degrees
135 degrees
180 degrees
#7

What is the relationship between the measure of an inscribed angle and the measure of its intercepted arc in a circle?

They are equal
The angle is twice the measure of the arc
The angle is half the measure of the arc
There is no fixed relationship
#8

In a circle, if two chords are congruent, what can you conclude about the measures of their intercepted arcs?

They are equal
They are congruent
They are supplementary
There is no fixed relationship
#9

What is the measure of a central angle that subtends an arc of 270 degrees in a circle?

90 degrees
135 degrees
180 degrees
270 degrees
#10

In a circle, if the measure of an arc is 90 degrees, what is the measure of the corresponding inscribed angle?

45 degrees
60 degrees
90 degrees
180 degrees
#11

In a circle with radius 10 cm, what is the length of an arc subtended by a central angle of 45 degrees?

5π cm
10π cm
15π cm
20π cm
#12

If the radius of a circle is 8 cm and the length of an arc is 16π cm, what is the measure of the central angle subtended by the arc?

45 degrees
90 degrees
180 degrees
360 degrees
#13

In a circle, if the measure of a central angle is 60 degrees, what is the measure of the arc it subtends?

30 degrees
60 degrees
120 degrees
180 degrees
#14

In a circle, if the measure of a central angle is 90 degrees, what is the measure of the arc it subtends?

45 degrees
90 degrees
180 degrees
360 degrees
#15

In a circle, if the measure of a central angle is 180 degrees, what is the measure of the arc it subtends?

90 degrees
180 degrees
270 degrees
360 degrees

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