#1
What is the measure of the central angle of a circle if it subtends an arc of 90 degrees?
30 degrees
45 degrees
60 degrees
90 degrees
#2
In a circle, what is the relationship between the radius and the diameter?
Radius = Diameter
Radius = 2 * Diameter
Radius = 1/2 * Diameter
Radius = 3 * Diameter
#3
What is the measure of the central angle of a circle if it subtends an arc of 180 degrees?
30 degrees
45 degrees
60 degrees
90 degrees
#4
In a circle, what is the relationship between the circumference and the diameter?
Circumference = Diameter
Circumference = 2 * Diameter
Circumference = 3 * Diameter
Circumference = π * Diameter
#5
What is the relationship between the central angle of a circle and the arc it subtends?
They are always equal
They are directly proportional
They are inversely proportional
There is no relationship
#6
In a circle, what is the relationship between the radius and the circumference?
Circumference = 2 * Radius
Circumference = π * Radius
Circumference = Radius
Circumference = 3 * Radius
#7
What is the measure of an inscribed angle that intercepts a semicircle in a circle?
90 degrees
45 degrees
60 degrees
30 degrees
#8
What is the formula for finding the area of a sector of a circle?
A = 1/2 * r^2 * θ
A = r^2 * π
A = 2 * r * θ
A = r * θ
#9
What is the measure of a central angle of a circle if it subtends an arc of 45 degrees?
45 degrees
90 degrees
60 degrees
30 degrees
#10
What is the formula for finding the length of an arc in a circle?
L = r^2 * θ
L = 2 * r * θ
L = r * θ
L = 1/2 * r^2 * θ
#11
What is the measure of the angle formed by two secants intersecting outside the circle?
Sum of intercepted arcs
Half the difference of intercepted arcs
Half the sum of intercepted arcs
Difference of intercepted arcs
#12
Which of the following is NOT a property of tangents to a circle?
A tangent line is perpendicular to the radius at the point of tangency
From a point outside the circle, there can be exactly one tangent to the circle
Tangent segments from a common external point are congruent
The angle between the tangent and the chord is obtuse
#13
What is the relationship between the tangent and radius of a circle at the point of tangency?
Tangent = Radius
Tangent * Radius = 1
Tangent = 1/Radius
Tangent * Radius = 0
#14
In a circle, if two chords are equal, then the corresponding arcs they subtend are:
Equal
Proportional
Not necessarily equal
Cannot be determined
#15
What is the ratio of the area of a circle to the area of its circumscribed square?
#16
In a circle, if two chords are perpendicular to each other, what can be said about the product of their lengths?
Their product is always equal to the radius squared
Their product is always equal to the diameter squared
Their product is always equal to half the circumference
Their product is always equal to twice the area of the circle
#17
In a circle, if a chord is bisected by another chord, then what can be said about the product of the segments of the first chord?
Their product is always equal to the radius squared
Their product is always equal to the diameter squared
Their product is always equal to the difference of the squares of the radii
Their product is always equal to the product of the squares of the radii