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analytic geometry formula sheet, Cheat Sheet of Geometry

Formula sheet include area, quadratic equations, circumferences, quadratic formula, surface area, distance formula and trigonometric relationships.

Typology: Cheat Sheet

2021/2022

Uploaded on 02/07/2022

laksh
laksh 🇺🇸

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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.
Quadratic Formula
xbb ac
a
=−±
24
2
Area
Rectangle/Parallelogram A = bh
Circle A = πr2
Triangle A = bh
1
2
Surface Area
Rectangular Prism SA = 2lw + 2wh + 2lh
Cylinder SA = 2
Sphere
πr2 + 2πrh
SA =4πr2
Volume
Rectangular Prism/Cylinder V = Bh
Pyramid/Cone V = Bh
1
3
Sphere
V=4
3
πr3
Analytic Geometry Formula Sheet
Distance Formula
dxxyy=−+−()()
21
2
21
2
Trigonometric Relationships
sin (θ)=opp
hyp ; cos (θ)=adj
hyp ; tan (θ)=opp
adj
Quadratic Equations
Vertex Form: yaxh k=−
()
+
2
Standard Form: yaxbxc=++
2
Conic Sections
Circle: xh yk r
()
+−
()
=
222
Parabola: yk pxh−=
1
4
2
()
xh pyk−=
1
4
2
()
Circumference
C = πd π 3.14
C = r
Conditional Probability
PABPA B
PB
() ()
()
=and

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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.

Quadratic Formula

x b^ b^ ac a

= −^ ±^ −

(^2 ) 2

Area Rectangle/Parallelogram A = bh

Circle A = π r^2

Triangle A = 12 bh

Surface Area Rectangular Prism SA = 2 lw + 2 wh + 2 lh

Cylinder SA = 2

Sphere

π r^2 + 2π rh

SA = 4 π r^2

Volume Rectangular Prism/Cylinder V = Bh

Pyramid/Cone V = 13 Bh

Sphere V = 4 3

π r^3

Analytic Geometry Formula Sheet

Distance Formula

d = ( x (^) 2 − x (^) 1 ) 2 + ( y (^) 2 − y 1 )^2

Trigonometric Relationships sin (θ) = opp hyp

; cos (θ) = adj hyp

; tan (θ) = opp adj

Quadratic Equations

Vertex Form: y = a x ( − h ) +^2 k

Standard Form: y = ax^2 + bx + c

Conic Sections

Circle: ( x − h ) +^2 ( y − k ) =^2 r^2

Parabola: (^) y k p

− = 1 xh 4

( )^2

x h p

− = 1 yk 4

( )^2

Circumference C = π d π ≈ 3. C = 2π r

Conditional Probability

P A B P A^ B P B

( ) (^ )

= and