try to spot the illuminati on every slide
Unit 8 Final Exam Review
by Aaron Huang and Sean Ayerst
Main Content
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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
radius
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
Answers…
(this will take up a few slides)
Easy:
radius
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)
Answers…
(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
Answers…
(this will take up a few slides)
Hard: Solve for x
First, set this as y
15² = 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
....
sprinkler radius
the eye of Sauron
Common Mistakes
did you forget the pi?
A = πr² DON’T FORGET
circumference is πd or 2πr NOT πr
The End
Thank you for
watching!