#1
What is the measure of a central angle in a circle?
360 degrees
ExplanationCentral angles in a circle always have a measure of 360 degrees.
#2
Inscribed angles that intercept the same arc are:
Always congruent
ExplanationInscribed angles intercepting the same arc in a circle are always congruent.
#3
What is the formula for the circumference of a circle?
C = 2 * π * r
ExplanationThe circumference of a circle is calculated using the formula C = 2 * π * r.
#4
What is the measure of the angle at the center of a circle that intercepts an arc of 60 degrees?
120 degrees
ExplanationThe central angle subtended by an arc of 60 degrees is 120 degrees.
#5
What is the measure of the central angle subtended by an arc whose length is equal to the radius of the circle?
180 degrees
ExplanationThe central angle subtended by an arc equal to the radius of a circle is 180 degrees.
#6
What is the measure of an angle formed by a secant and a tangent intersecting outside a circle?
45 degrees
ExplanationThe angle formed by a secant and a tangent intersecting outside a circle is 45 degrees.
#7
What is the relationship between the radius and diameter of a circle?
Diameter = 2 * Radius
ExplanationThe diameter of a circle is twice the length of its radius.
#8
What is the measure of an angle formed by a tangent and a chord intersecting on the circle?
90 degrees
ExplanationThe angle formed by a tangent and a chord intersecting on a circle is always 90 degrees.
#9
What is the relationship between a secant and a tangent line in a circle?
The angle between them is always 90 degrees
ExplanationThe angle between a secant and a tangent line in a circle 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
ExplanationThe angle formed by two intersecting chords inside a circle is the average of the intercepted arcs.
#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
ExplanationEqual-length chords in a circle correspond to arcs of equal length.
#12
What is the measure of an angle formed by two tangents that intersect outside a circle?
60 degrees
ExplanationThe angle formed by two tangents intersecting outside a circle is 60 degrees.
#13
What is the relationship between the measure of an inscribed angle and the measure of its intercepted arc?
The angle is half the measure of the arc
ExplanationThe measure of an inscribed angle in a circle is half the measure of the intercepted 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 sum of the intercepted arcs
ExplanationThe angle formed by intersecting secants, tangents, or a secant and a tangent outside a circle is half the sum of the intercepted arcs.
#15
In a circle, if an inscribed angle measures 30 degrees, what is the measure of the intercepted arc?
60 degrees
ExplanationThe measure of an intercepted arc by a 30-degree inscribed angle in a circle is 60 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 sum of the intercepted arcs
ExplanationThe angle formed by two secants intersecting outside a circle is half the sum of the intercepted arcs.
#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
ExplanationThe angle formed by a secant and a chord intersecting outside a circle is half the difference of the intercepted arcs.