Circles and Arc Measurements Quiz

Test your knowledge with 14 questions on circle geometry covering circumference, angles, arcs, and more. Get ready to ace your geometry exam!

#1

Which of the following is the formula for calculating the circumference of a circle?

C = πr
C = 2πr
C = πd
C = 2d
#2

If the radius of a circle is 5 units, what is the diameter?

5 units
10 units
15 units
20 units
#3

What is the name of the line segment that passes through the center of a circle and has endpoints on the circle?

Tangent
Radius
Chord
Secant
#4

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

6π units
12π units
24π units
36π units
#5

What is the measure of a central angle that subtends an arc of 45 degrees in a circle?

45 degrees
90 degrees
180 degrees
360 degrees
#6

In a circle, if the radius is 8 units and the central angle is 60 degrees, what is the length of the intercepted arc?

4π units
8π units
12π units
16π units
#7

If the radius of a circle is tripled, how does it affect the area of the circle?

Area becomes three times larger
Area becomes six times larger
Area becomes nine times larger
Area remains the same
#8

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

45 degrees
90 degrees
180 degrees
360 degrees
#9

If the radius of a circle is 10 units, what is the area of the circle?

25π square units
50π square units
100π square units
200π square units
#10

What is the relationship between the inscribed angle and the central angle subtended by the same arc in a circle?

They are always equal
The inscribed angle is half of the central angle
The inscribed angle is twice the central angle
There is no specific relationship
#11

If the central angle of a circle is 120 degrees, what is the measure of the corresponding inscribed angle?

30 degrees
60 degrees
90 degrees
120 degrees
#12

In a circle with radius 6 units, what is the length of an arc subtended by a central angle of 120 degrees?

2π units
3π units
4π units
6π units
#13

What is the relationship between the radius and the tangent line at the point of tangency on a circle?

Perpendicular
Parallel
Tangent
Coincident
#14

What is the measure of an angle formed by two radii in a circle with a central angle of 60 degrees?

30 degrees
45 degrees
60 degrees
120 degrees

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