Angles and Arcs in Circles Quiz

Master circle geometry with our quiz on angles and arcs. Understand central angles, inscribed angles, and more through engaging questions.

#1

In a circle, what is the measure of the central angle that corresponds to an arc with a measure of 60 degrees?

30 degrees
60 degrees
120 degrees
180 degrees
1 answered
#2

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

45 degrees
90 degrees
180 degrees
360 degrees
1 answered
#3

In a circle, if the measure of an arc is 120 degrees, what is the measure of the central angle that intercepts this arc?

30 degrees
60 degrees
120 degrees
240 degrees
1 answered
#4

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

60 degrees
120 degrees
240 degrees
360 degrees
1 answered
#5

What is the measure of an angle formed by two secants intersecting outside a circle if the measure of the intercepted arc is 120 degrees?

30 degrees
60 degrees
120 degrees
240 degrees
1 answered
#6

If the measure of an arc in a circle is 45 degrees, what is the measure of the central angle that corresponds to this arc?

45 degrees
90 degrees
180 degrees
360 degrees
1 answered
#7

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

They are always equal
They are sometimes equal
They are never equal
The relationship cannot be determined
#8

If the measure of an angle formed by two secants, two tangents, or a secant and a tangent intersecting outside a circle is half the difference of the measures of the intercepted arcs, what is this theorem called?

Angle Sum Theorem
Tangent Secant Theorem
Inscribed Angle Theorem
Intercepted Arc Theorem
1 answered
#9

What is the relationship between the measure of an angle formed by a tangent and a chord intersecting on the circle and the measure of the intercepted arc?

They are always equal
They are sometimes equal
They are never equal
The relationship cannot be determined
#10

If two inscribed angles intercept the same arc in a circle, are the angles equal in measure?

Yes
No
It depends
Cannot be determined
1 answered
#11

If the measure of an angle formed by two chords in a circle is 70 degrees, what is the measure of the arc intercepted by this angle?

70 degrees
140 degrees
35 degrees
105 degrees
#12

What is the measure of an angle formed by a secant and a tangent intersecting outside a circle if the measure of the intercepted arc is 120 degrees?

30 degrees
60 degrees
120 degrees
240 degrees
#13

What is the measure of an angle formed by two chords in a circle if the chords intersect inside the circle?

It is equal to the average of the intercepted arcs
It is half the sum of the intercepted arcs
It is half the difference of the intercepted arcs
It is equal to the sum of the intercepted arcs
#14

What is the measure of an angle formed by a tangent and a chord if they intersect at a point on the circle?

It is half the measure of the intercepted arc
It is equal to the measure of the intercepted arc
It is twice the measure of the intercepted arc
The relationship cannot be determined
#15

What is the relationship between the angle formed by a secant and a tangent intersecting outside the circle and the measure of the intercepted arc?

They are always equal
They are sometimes equal
They are never equal
The relationship cannot be determined
#16

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

180 degrees
90 degrees
45 degrees
It cannot be determined
#17

If two chords in a circle are equal in length, what can you say about the arcs they intercept?

The arcs are equal in length
The arcs are not necessarily equal in length
The arcs are supplementary
The relationship cannot be determined
#18

What is the measure of an angle formed by two secants intersecting outside a circle if the measure of the intercepted arc is 80 degrees?

40 degrees
80 degrees
160 degrees
320 degrees

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