Geometry - Inscribed Angles and Arc Measures Quiz

Test your knowledge on circle geometry with questions about inscribed angles and arc measures. Practice now!

#1

In a circle with center O, if angle AOB is 60 degrees, what is the measure of the arc AB?

60 degrees
120 degrees
180 degrees
240 degrees
#2

If a central angle of a circle measures 45 degrees, what is the measure of the corresponding arc?

45 degrees
90 degrees
180 degrees
360 degrees
#3

In a cyclic quadrilateral, what is the sum of opposite angles?

180 degrees
360 degrees
90 degrees
45 degrees
#4

If an inscribed angle in a circle measures 30 degrees, what is the measure of the intercepted arc?

30 degrees
60 degrees
120 degrees
240 degrees
#5

If the measure of an inscribed angle is 90 degrees, what is the measure of the intercepted arc?

90 degrees
180 degrees
270 degrees
360 degrees
#6

In a circle with radius 5 units, what is the length of the arc formed by a central angle of 72 degrees?

5π units
6π units
8π units
10π units
#7

For a cyclic quadrilateral, if one angle is 80 degrees, what is the measure of the opposite angle?

80 degrees
100 degrees
180 degrees
360 degrees
#8

For a regular hexagon inscribed in a circle, what is the measure of each central angle?

30 degrees
45 degrees
60 degrees
120 degrees
#9

If an inscribed angle in a circle measures 120 degrees, what is the measure of the central angle subtended by the same arc?

120 degrees
180 degrees
240 degrees
360 degrees
#10

For a circle with radius 8 units, what is the length of the arc subtended by a central angle of 45 degrees?

4π units
6π units
8π units
10π units
#11

If the measure of an inscribed angle is 60 degrees, what is the measure of the central angle subtended by the same arc?

60 degrees
120 degrees
180 degrees
240 degrees
#12

In a circle with radius 10 units, if the central angle is 120 degrees, what is the length of the intercepted arc?

10π units
15π units
20π units
30π units

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