Central & Inscribed Angles
Tangents & Segment Relationships
Angle Relationships
Circumference & Area
Arc Length & Sector Area
100
Where is the vertex of a central angle?
The center of a circle.
100
A tangent intersects a circle at exactly _____ point.
Sketch an example of a tangent.
one
sketches will vary
100
According to the Intersecting Chords Angle Measure Theorem, if two secants or chords intersect in the interior of a circle, then the measure of each angle formed is _____ the _____ of the measures of its intercepted arcs.
half; sum
100
What is the formula for the circumference of a circle?
c=2pir
c=pid
100
What is the formula for arc length when given an angle measure in degrees and a radius in linear units?
s=m/360*2pir
200
Where is the vertex of an inscribed angle?
It is a point on the circle.
200
A circumscribed angle is formed by two rays which are _________ to a circle and their common endpoint.
Sketch an example of a circumscribed angle.
tangent
sketches will vary
200
Find the measure of angle x
62 degrees
200
What is the formula for the area of a circle?
a=pir^2
200
What is the arc length in linear units of an arc with an interior angle measure of 120 degrees and a radius of 3 inches?
6.3 inches
300
The arc measure of a central angle is _______ the degree measure of its corresponding central angle.
equal to
300
According to the circumscribed angle theorem, a circumscribed angle and its associated central angle are ________.
supplementary
300
According to the Tangent-Secant Interior Angle Measure Theorem, if a tangent and a secant intersect on a circle at the point of tangency, then the measure of the angle formed is _____ the measure of its intercepted arc.
half
300
What is the circumference of a circle with a diameter of 14.2 mm?
44.6 mm
300
Describe how you would convert 90 degrees to radians.
m/360 * 2pi
pi/2
400
The arc measure of an inscribed angle is ______ the measure of its corresponding inscribed angle measure.
twice
400
Use the secant-secant product theorem to solve for the missing length.
x=10
400
Find the missing angle measure:
74 degrees
400
What is the area of a pizza whose slice is 9 inches long? Round your answer to the nearest square inch.
255 square inches
400
What is the formula for the area of a sector of a circle with a central angle of m degrees and a radius r?
A=m/360*pir^2
500
The arc length of an inscribed angle is equal to 70 degrees. What is the length of its inscribed angle?
35 degrees
500
Use the secant-tangent product theorem to find the missing side length.
x=15
500
Find the missing arc length measure, for when a tangent and a secant intersect in the exterior of a circle.
x=22
500
The Greek Parthenon, pictured below, has columns with a circumference of approximately 5.65 meters. What is the diameter of a column?
approx. 1.8 m
500
What is the area of a sector with a central angle of 22.5 degrees and a radius of 24mm?
113.10 square mm