Vocabulary
Formulas
True or False
Equations
Angles
100
What is the definition of radius?
What is distance between the center and a point on the circle
100
Standard formula
What is (x-h)^2+(y-k)^2=r^2
100
Two chords are congruent if and only if a. Their corresponding arcs are congruent. b. They are equidistant from the center.
What is true
100
(X-9)^2+(y-4)^2=37 Center: (9,4) ; Radius: 6 Find the area of the sector R=18cm, 0=60 degrees
What is 169.65cm^2
100
Inscribed angle
What is an angle with its vertex on the circle with two sides that are chords
200
Definition of circumference
What is the measurement of the outer boundary of a shape, specifically a circle in this case.
200
Midpoint Formula
What is (x1+x2/2 , y1+y2/2)
200
The degree arc of the inscribed angle is equal to 1/3rd the measure of its intercepted arc
What is false, it is equal to Half the measure of its intercepted arc.
200
Find the circumference if the diameter is 8.
What is 25.13
200
Central Angle
What is an angle with its vertex at the center of the circle and its two sides are radii.
300
Definition of major arc.
What is an arc in a circle that is greater than 180 degrees.
300
Circumference Formula
What is C=2πr or dπ
300
If an quadrilateral is in a circle, then its opposite angles are congruent
What is false they are supplementary
300
Find the sector area if theta=280 and r=4
What is 39.10
300
Angle bisector
What is a line, ray, or segment that divides an angle into two congruent parts.
400
Definition of arc length.
What is the length of the arc of a piece of the circle.
400
Arc Length Formula
What is L= x * c / 360 C=2πr or dπ
400
If an inscribed angle intercepts the same arc, then the angles are congruent.
What is true
400
Find x if line CB= 8x-19 and AB= 5x+23 and both sides are congruent.
What is x=14
400
Points of concurrency
What is the four points are orthocenter, incenter, centroid, and circumcenter. All of these points come and meet at one single point.
500
Definition of degree of the arc.
What is formed by the endpoints of a central angle is equal to the degree of the central angle.
500
Sector Area
What is A= o/360 x πr^2
500
If a polygon is circumscribed around a circle, then all sides are NOT tangent.
What is false, they are tangent.
500
Find PQ if PQ= 14x-13 and QR= 8x+5
What is PQ= 29
500
Inscribed quadrilateral
What is a four sided shape inside of the circle.
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