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Advanced Geometry: Unit 5 Review!
Terminology
1.)
2.)
3.)
4.)
5.)
6.)
Name a Minor Arc.
Name a Major Arc.
Name a Chord.
Name a Secant.
Name a Tangent.
Name an Inscribed Angle.
Arc Length
1.)
Radius = 8 cm
2.)
Length of arc AB = ?
4.)
Radius = 5.5 cm
Length of arc AB = ?
ABCD is a trapezoid; CD is a diameter
5.)
Radius = 7 in
Length of arc CE = ?
6.)
Radius = 7 in
Length of arc BC
7.)
Length of AB = 15.359 in
Radius = 10 in
m < ABC = ?
=?
Diameter = 10 in
Length of arc AB = ?
3.)
Diameter = 2 cm
Length of arc AB = ?
(Tangent at D)
Angles Involving Circles
1.)
m < ABC =
4.)
m BC =
5.)
2.) m < BCE =
3.)
m < ACD =
m < ADB = 50
m < CAB = ?
6.)
m < BAC =
Tangent at A and C
Tangent Problems
5.)
Find the area of the shaded region
enclosed by two tangents to the
circle.
6.)
Radius of Circle A = 50 cm
Radius of Circle B = 35 cm
AB = 124 cm
What is the length of the belt?
Law of Sines and Cosines
3.)
4.)
5.)
6.)
Lines Involving Circles
2.)
5.)
3.)
4.)
6.)
Tricky Tangent!
6.)
Each side of quadrilateral ABCD is tangent to the given circle.
AB = 14, BC = 18, and AD = 22. Find CD.
7.)
In equilateral triangle ABC, three congruent
circles are inside the triangle tangent to each
other and the triangle itself. The radius of
each circle is 12 cm. Find the area of triangle
ABC in EXACT form.
9.)
The five circles below are congruent
and ABCD is a square. The circles are
all tangent to each other, and all but
the middle circle are tangent to the
sides of the square. Given that the
length of a radius is 12, find the EXACT
area of the square.
8.)
The figure below has AC tangent to
the circles Q and P at points C and B
respectively. Given that the area of circle
Q is 100 and the area of circle P is 40, find
AB.
Special Right Triangles
1.)
2.)
3.)
Special Right Triangles
4.)
A baseball diamond is really a square
with side lengths of 90 feet. Given this
information, find the exact length from
home plate to second base.
5.)
6.)
8.)
A = ______________
B = ______________
C = ______________
D = ______________
E = ______________
F = ______________
G = ______________
Fractions of Circles
5.)
Find the shaded area. (EXACT)
7.)
A dog is leashed to the outside of a shed
in the shape of a regular 15-gon. Determine
the amount of area on which the dog can
walk if the side length of the shed is 20 ft
and the dog's leash is 55 ft.
6.)
EXACT shaded area.
Area of Full Circle = 121
Fun Areas!
6.)
AC = 20
7.)
Find the EXACT shaded area
involving a semicircle and congruent arcs.
Side Length of Regular Hexagon = 12  5
Find the Shaded Area (EXACT).
10.)
Each of the three congruent circles
has an area of 72  and passes
through the centers of the other two.
Find the EXACT shaded area.
Area of Big Circle = 196 
Find the Shaded Area (EXACT)
8.)
Final