# Unit 8 Final Exam Review

```try to spot the illuminati on every slide
Unit 8 Final Exam Review
by Aaron Huang and Sean Ayerst
●
●
●
●
●
●
●
●
Properties of Tangents
Arc Measures
Properties of Chords
Use Inscribed Angles
Walk-Around Problems
Apply Other Relationships in Circles
Angle-Arc Relationships with Algebra
Find Segment Lengths in Circles
12
Examples...
Easy:
(this might take up a few slides)... Lol jk
9
what is
this?
3
6
46
Medium:
Given that there are 3 tangent circles and the 3 points, A,
B, and C are the centers. AB=8, BC=13, and AC=11 solve
for the radii of all 3 circles.
4
9
7
Hard: Solve for x
X
15
(this will take up a few slides)
Easy:
46
This is an inscribed angle. It
covers the same amount as
the central angle but, an
inscribed angle’s measure is
only half of the arc length
Because THIS is a central
angle, arc measures will
evidently equal their central
angle
Here’s a frog just cuz i needed to get rid of
space (I know it’s a squid)
(this will take up a few slides)
Medium:
Given that there are 3 tangent circles and the 3 points, A,
B, and C are the centers. AB=8, BC=13, and AC=11 solve
for the radii of all 3 circles.
set this value
as x
8
11
13
(this will take up a few slides)
Hard: Solve for x
First, set this as y
15&sup2; = 9(y + 16)
225 = 9y + 144
9y = 81
y=9
4
9
7
y
x
15
4x = 7y
4x = 63
x = 15.75
Yay we’re finally done!
Connections To Other units
volume
surface area
inscribed triangles
Real Life Applications
volume of bouncy ball
such
as...
or maybe...
clock hands
Garden
I CAN SEEEE
YOOUUUU
and our guest...
also including
....