Angles in a Circle
Chords
Secant-Secant and Secant-Tangent
Tangent Lines
Factoring
100
What do we call angles whose vertex lies on the circle?
What is inscribed angles
100
What is the formula for calculating the length of chords in a circle?
What is axb=cxd
100
What is the formula for calculating the lengths of two secants inside the circle?
What is whole x outside= whole x outside
100
When a radius and a tangent line meet, they form what kind of angle
What is Right Angle (90 degrees)
100
When factoring, we're looking for two numbers that _______ to the c term, but ________ to the b term.
What is multiply, add.
200
If a central angle measures 50 degrees, what is the measurement of its arc?
What is 50 degrees
200
If a= 4cm and b=8cm on one chord, and c= 10cm and d=X on the second chord, what is the value of X?
What is X=3.2
200
If one whole secant measures 8cm and the outside segment measures 3cm, while the second whole secant measures 10 cm, and the outside segment measures X, what is the value of X? (HINT: draw a picture)
What is X=2.4
200
What can we use to prove that a line is indeed tangent to the circle?
What is the Pythagorean Theorem
200
Factor x^2 + 6x - 16
What is (x-2)(x+8)
300
If an inscribed angle measures 58 degrees, what is the measure of its arc?
What is 116 degrees
300
If a=51mm, b=42mm, c=X, and d=25mm, What is X? Round to the nearest tenth.
What is X= 85.7mm
300
If a whole secant measures 4x and the outside part measures 2, while the tangent line connected to the secant measures 5, what is the value of X? Round to the nearest tenth.
What is x=3.1
300
If a triangle inscribed in a circle has side lengths 4 and 9, and a hypotenuse of 12, will this triangle have a tangent line to the circle?
What is No
300
Find the radius and center of the circle with equation
What is r = sqrt(28) and (3, -4)
400
If two arcs of an interior angle measure 120 degrees and 40 degrees, what is the measure of the interior angle?
What is 80 degrees
400
If a=2x+14, b= 5, c= 6x+12, and d=7, what is the value of segment A?
What is 13.1
400
1st secant) inside= 20, outside=9
2nd secant) inside= x, outside=10
What is the value of X? round to the nearest tenth
What is X=16.1
400
When two tangent lines touch the circle and meet at an external point, are these tangent lines...A) Equal B) Complementary C) Supplementary D) add to get 180 degrees
What is A) the tangent lines will be equal to each other.
400
Find the radius and center of the circle with equation x^2 + y^2 + 14x − 12y + 4 = 0
What is (-7,6) and r = 9
500
If an exterior angle has arc measures with 103 degrees and 68 degrees, what is the measure of its supplementary angle?
What is 162.5 degrees.
500
If A=X, B=6, C= x+3, and D=4, what is the value of segment C?
What is 9
500
1st secant) inside=2 outside=8
2nd secant) inside=11 outside=x
What is the value of X?
What is X=5
500
Two tangent lines touch the circle and meet at a point. One measures 30 cm while the other is 3x-15. What is the value of X?
What is X=15
500
Find the radius and center of the circle with equation
8x + 32y + y^2 = −263 − x^2
What is r = 3, (-4,-16)