Geometric properties of circles and angles Quiz

Test your knowledge on circle geometry with questions about central angles, inscribed angles, arc measures, and more.

#1

What is the measure of a central angle in a circle?

90 degrees
180 degrees
360 degrees
45 degrees
#2

Inscribed angles that intercept the same arc are:

Always congruent
Sometimes congruent
Never congruent
Always supplementary
#3

What is the formula for the circumference of a circle?

C = π * r
C = 2 * π * r
C = π * d
C = 2 * π * d
#4

What is the measure of the angle at the center of a circle that intercepts an arc of 60 degrees?

30 degrees
60 degrees
120 degrees
180 degrees
#5

What is the measure of the central angle subtended by an arc whose length is equal to the radius of the circle?

90 degrees
180 degrees
45 degrees
60 degrees
#6

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

90 degrees
180 degrees
45 degrees
60 degrees
#7

What is the relationship between the radius and diameter of a circle?

Diameter = 2 * Radius
Radius = Diameter / 2
Diameter = Radius / 2
Radius = Diameter
#8

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

90 degrees
180 degrees
45 degrees
60 degrees
#9

What is the relationship between a secant and a tangent line in a circle?

They are always perpendicular
They are always parallel
They intersect at right angles
The angle between them is always 90 degrees
#10

What is the measure of an angle formed by two intersecting chords inside a circle?

The average of the intercepted arcs
The sum of the intercepted arcs
The difference of the intercepted arcs
The measure of the larger intercepted arc
#11

If two chords in a circle are equal in length, then what is the relationship between their corresponding arcs?

The arcs are equal in length
The arcs are supplementary
The arcs are complementary
The sum of the arcs is equal to the circumference of the circle
#12

What is the measure of an angle formed by two tangents that intersect outside a circle?

90 degrees
180 degrees
45 degrees
60 degrees
#13

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

The angle is twice the measure of the arc
The angle is equal to the measure of the arc
The angle is half the measure of the arc
The angle is complementary to the measure of the arc
#14

What is the relationship between the measure of an angle formed by two secants, two tangents, or a secant and a tangent intersecting outside a circle and the measures of the intercepted arcs?

The angle is half the difference of the intercepted arcs
The angle is half the sum of the intercepted arcs
The angle is equal to half the measure of the intercepted arc
The angle is equal to the measure of the intercepted arc
#15

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

30 degrees
60 degrees
120 degrees
180 degrees
#16

What is the relationship between the measure of an angle formed by two secants intersecting outside a circle and the measures of the intercepted arcs?

The angle is half the difference of the intercepted arcs
The angle is half the sum of the intercepted arcs
The angle is equal to half the measure of the intercepted arc
The angle is equal to the measure of the intercepted arc
#17

What is the relationship between the measure of an angle formed by a secant and a chord intersecting outside a circle and the measures of the intercepted arcs?

The angle is half the difference of the intercepted arcs
The angle is half the sum of the intercepted arcs
The angle is equal to half the measure of the intercepted arc
The angle is equal to the measure of the intercepted arc

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