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Geometry Formulas

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Plane Figure Geometry Formulas:
Name
Rectangle
Perimeter/Circumference
Area (A)
Parallelogram
P  2a  2b
A  bh
Trapezoid
Add all four exterior
lengths
A
1
h( a  b )
2
Triangle
Add all three exterior
lengths
A
1
bh
2
C  2 r
A   r2
d2
A
4
Circle
Figure
P  2L  2W
**for a circle, perimeter
is renamed
circumference since it is
the measure of a curve
Sector
L

180
r
A  LW
this formula can be
used if the
diameter (d) is
known instead of
the radius
A

360
**for a sector, perimeter
is renamed arc length
Ellipse
C   ( a  b) j
1
1 2
1 3
j  1 h 
h 
h  ...
4
64
256
( a  b) 2
h
( a  b) 2
A   ab
 r2
Solid Figure Geometry Formulas:
Name
Rectangular
Prism
Figure
Surface Area (SA)
Volume (V)
Triangular
Prism
SA  ab  d (a  b  c)
1
V  abd
2
Cylinder
SA  2 r 2  2 rh
V   r 2h
 d 2h
V
4
SA  2wl  2hl  2wh
V  lwh
this formula can be used if
the diameter (d) is known
instead of the radius
Pyramid
SA  b2  b b2  4h2
1
V  b2h
3
Cone
SA   r 2   r r 2  h 2
1
V   r 2h
3
Frustum of a
Pyramid
SA  b 2  B 2 
1
V  h  B 2  Bb  b 2 
3
Frustum of a
Cone
Sphere
( B  b) ( B  b ) 2  h 2
SA   r 2   R 2 
 ( R  r ) ( R  r )2  h2
SA  4 r 2
1
V   h  R 2  Rr  r 2 
3
4
V   r3
3
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