Angles in a Circle
Chords
Secant-Secant and Secant-Tangent
Tangent Lines
Vocab
100
What do we call angles inside the circle that are NOT in the center of the circle?
What is Interior Angles
100

What is the formula for calculating the length of chords in a circle?

What is a(b)=c(d)

100

What is the formula for calculating two secants inside the circle?

What is whole x outside= whole x outside or a(a+b)=c(c+d)

100
When a radius and a tangent line meet, they form what kind of angle
What is Right Angle (90 degrees)
100

What is a chord?

line segment whose endpoints are on the circle

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

What is a tangent?

A line that intersects a circle once

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 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

A line that intersects a circle twice.

What is a secant

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

An angle whose vertex is the center of a circle.

What is a central angle

500

If an exterior angle has arc measures with 103 degrees and 68 degrees, what is the measure of its angle?

What is 17.5 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

Define an inscribed angle.

an angle whose vertex is on the outside of a circle

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