Circles and Angles in Geometry Quiz

Test your knowledge on central angles, arc lengths, chords, and sectors in circles with this geometry quiz. Practice trigonometry concepts!

#1

In a circle, what is the measure of a central angle that intercepts an arc with a measure of 90 degrees?

45 degrees
90 degrees
180 degrees
360 degrees
#2

In a circle with a diameter of 10 units, what is the length of the radius?

5 units
10 units
20 units
25 units
#3

What is the measure of an angle formed by the tangent and a chord intersecting outside a circle?

90 degrees
180 degrees
45 degrees
360 degrees
#4

In a circle with a radius of 6 units, what is the length of an arc intercepted by a central angle of 45 degrees?

3π units
4π units
6π units
9π units
#5

In a circle with a radius of 5 units, what is the length of an arc intercepted by a central angle of 60 degrees?

π units
2π units
3π units
4π units
#6

What is the relationship between the measure of an inscribed angle and the measure of the central angle that intercepts the same arc?

They are always equal
They are supplementary
They are complementary
They are not related
#7

If the measure of an inscribed angle in a circle is 60 degrees, what is the measure of the intercepted arc?

30 degrees
60 degrees
120 degrees
240 degrees
#8

What is the measure of the angle formed by two tangents drawn to a circle from an external point?

45 degrees
90 degrees
180 degrees
360 degrees
#9

In a circle with radius 6 units, what is the length of a chord that is perpendicular to the radius and has a distance of 4 units from the center?

2 units
4 units
8 units
10 units
#10

In a circle with a radius of 8 units, what is the length of a chord that is 6 units away from the center?

2 units
4 units
6 units
10 units
#11

In a circle with a radius of 5 units, what is the length of an arc intercepted by a central angle of 120 degrees?

5π units
10π units
15π units
20π units
#12

If the length of an arc in a circle with radius 8 units is 12π units, what is the measure of the central angle that intercepts this arc?

135 degrees
150 degrees
165 degrees
180 degrees
#13

What is the measure of the central angle of a sector that has an arc length of 3π units in a circle with a radius of 5 units?

36 degrees
54 degrees
72 degrees
90 degrees
#14

In a circle with radius 10 units, what is the area of the sector formed by a central angle of 120 degrees?

100π square units
150π square units
200π square units
300π square units
#15

In a circle with radius 12 units, what is the area of the segment formed by a central angle of 60 degrees?

12π square units
24π square units
36π square units
48π square units

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