Analytic Geometry Formula Sheet
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1Analytic Geometry Formula Sheet
Below are the formulas you may find useful as you work the problems. However, some
of the formulas may not be used. You may refer to this page as you take the test.
Area
Quadratic Equations
Rectangle/Parallelogram A = bh
2
=
+
+
Standard Form:
y
ax
bx
c
1
Triangle A =
bh
(
)
2
Vertex Form:
=
−
+
y
a x
h
k
2
Circle A = πr
2
Quadratic Formula
Circumference
2
− ±
−
4
b
b
ac
C = πd
π ≈ 3.14
=
x
2
a
C = 2πr
Conic Sections
Volume
1
Rectangular Prism/Cylinder V = Bh
2
Parabola:
− =
−
y k
(
x
h
)
4
p
1
Pyramid/Cone V =
Bh
1
3
− =
−
2
x
h
(
y k
)
4
4
p
Sphere V =
πr
3
3
2
2
(
)
(
)
2
−
+
−
=
Circle:
x
h
y k
r
Surface Area
Rectangular Prism SA = 2lw + 2wh + 2lh
Distance Formula
πr
2
Cylinder SA = 2
+ 2πrh
=
−
2
+
−
2
d
(
x
x
)
(
y
y
)
2
1
2
1
SA = 4πr
2
Sphere
Trigonometric Relationships
Conditional Probability
opp
adj
opp
P A
(
and
B
)
sin (θ) =
; cos (θ) =
; tan (θ) =
=
P A B
(
)
hyp
hyp
adj
P B
( )
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