Circle Vocab
The distance between the two points on the arc.
Arc Length
If 58 degrees is the central angle and 5a+8 is the arc, what is the value of a?
10
If given the angle,? by 2.
multiply
What is the formula of interior angles?
Angle= arc+arc divided by 2.
An angle whose vertex is outside of a circle, and the sides of the angle are secants and tangents of the circle.
Exterior Angles
A straight line segment whose endpoints lie on the edge of the circle.
Chord
Angle BC= 2x-14, angle CD= 2x, angle DA= 3x+10, angle AE= 3x, and angle BE=4x in the circle, what is the measure of each arc? Find x.
Arc BC=38
Arc CD= 52
Arc DA= 88
Arc AE= 78
Arc EB= 104
X=26
If given the arc, divide by ?
2
Arc TU= 202 and Arc WV= 108, what is the angle of WV?
155
What is the formula of exterior angles of a circle?
angle= arc-arc divided by 2
A line outside the circle that only intersects the circle at the point of tangency.
Tangent lines
If angle AD= 60 and angle FE= 4x+20, what is x?
The angle of the inscribed circle is 55 degrees, find the arc of the circle.
110
Arc PQ= 68 vertical to Arc SR= 96. What is the measure of angle SR?
196
x=(140-52)/2. What is the measure of x?
44
A portion of the circle that like a pie slice or pizza slice that has the point of the slice at the center of the circle.
Sector
Angle A & B equals 20. What is the measure of Angle C? What the measure of Arc AXB?
Angle C= 140
Arc AXB= 220
The arc of the inscribed circle is 82. Find the measure of the angle.
41
Arc DS= 132 vertical to Angle DS= 80. What is the arc of AB?
28
x=(106-96)/2. What is the measure of x?
5
A line segment that begins outside the circle, passes through one side of the circle and ends at the other side of the circle.
Secants
Given AD is the diameter, find angle AB, angle BC, and arc CD in the circle. Arc AB= 25. Angle CD=55.
Angle AB= 25
Angle BC= 100
Arc CD= 55
The angle of the inscribed circle is 56 degrees. The intercepted arc is equal to 2x+6. Find X.
x= 53
Angle AB= 7x+7. Arc AB= 74. Vertical from AB, Arc CD= 66. What is the value of x.
9
x=(91-55)/2. What is the value of x?
18