Angles in a Circle
Chords
Secant-Secant and Secant-Tangent
Tangent Lines
Arc Length and Sector Area
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 axb=cxd
100

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

What is out (out + in) = out (out + in)

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

What is the formula for Arc Length?

What is arc length = 2pi(r)(arc/360)

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
If an arc has an arc measuring 30 degrees and a radius of 4cm, what the Arc Length? round to the nearest tenth
What is 2.1 cm
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
An arc measures 140 degrees and has a radius of 5 feet. What is the Arc Length? round to the nearest tenth
What is 12.2 feet
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
A circle has a shaded region with an arc of 127 degrees and a radius of 8 feet. What is the area of this sector? Round to the nearest WHOLE number
What is 71 feet squared.
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
A large piece of pizza has an arc measure of 60 degrees and a side, or radius, that is 6 inches long. You decide to eat 3 pieces. What is the area of the pizza that you ate? Round to the nearest tenth.
What is 56.5 in. squared
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