Circles and Angles Quiz

Challenge yourself with questions about central angles, intercepted arcs, inscribed angles, tangent-chord angles, secants, and tangents in circles. Test your knowledge now!

#1

In a circle, what is the measure of a central angle that intercepts an arc equal in length to the radius of the circle?

45 degrees
60 degrees
90 degrees
120 degrees
#2

What is the relationship between the central angle of a circle and the arc it intercepts?

They are equal
The angle is twice the arc
The angle is half the arc
There is no relationship
#3

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

They are equal
The angle is twice the arc
The angle is half the arc
There is no relationship
#4

What is the measure of an inscribed angle formed by a chord that is half the length of the circle's diameter?

45 degrees
60 degrees
90 degrees
120 degrees
#5

In a circle, what is the relationship between the measure of a tangent-chord angle and the intercepted arc?

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

What is the measure of a tangent-chord angle formed by a chord that is half the length of the circle's diameter?

45 degrees
60 degrees
90 degrees
120 degrees
#7

In a circle with radius 5 cm, what is the length of an arc intercepted by a central angle of 45 degrees?

5π cm
2.5π cm
5/π cm
10π cm
#8

If the diameter of a circle is 12 cm, what is the circumference of the circle?

6π cm
12π cm
24π cm
36π cm
#9

What is the measure of a central angle that forms an inscribed angle of 75 degrees?

75 degrees
150 degrees
30 degrees
60 degrees
#10

If an inscribed angle in a circle has a measure of 120 degrees, what is the measure of the intercepted arc?

60 degrees
120 degrees
240 degrees
360 degrees
#11

If a tangent-chord angle in a circle has a measure of 30 degrees, what is the measure of the intercepted arc?

60 degrees
90 degrees
120 degrees
150 degrees
#12

What is the measure of the tangent-chord angle that intercepts an arc of 135 degrees in a circle?

45 degrees
60 degrees
90 degrees
120 degrees
#13

What is the measure of the central angle in a circle with radius 8 cm that intercepts an arc of length 12 cm?

45 degrees
60 degrees
90 degrees
120 degrees
#14

What is the measure of the inscribed angle that intercepts an arc of 90 degrees in a circle?

45 degrees
60 degrees
90 degrees
120 degrees
#15

If the tangent-chord angle of a circle has a measure of 75 degrees, what is the measure of the intercepted arc?

37.5 degrees
75 degrees
150 degrees
300 degrees
#16

What is the measure of an angle formed by a secant and a tangent if the intercepted arc is 150 degrees?

30 degrees
60 degrees
75 degrees
150 degrees
#17

If the angle formed by a tangent and a chord intersecting at the point of tangency is 45 degrees, what is the measure of the intercepted arc?

22.5 degrees
45 degrees
90 degrees
180 degrees

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