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Plane Figure Geometry Formulas:
Name Figure Perimeter/Circumference Area (A) Rectangle P^ ^2 L^ ^2 W A^ LW
Parallelogram P^ ^2 a^ ^2 b A^ bh
Trapezoid Add all four exterior lengths
(^1) ( ) A 2 h a b
Triangle Add all three exterior lengths
1 A 2 bh
Circle C^ ^2 r **for a circle, perimeter is renamed circumference since it is the measure of a curve
A r^2
2 4 A^ ^ d this formula can be used if the diameter (d) is known instead of the radius Sector L 180 r ^ ^ **for a sector, perimeter is renamed arc length
2 A 360 r ^ ^
Ellipse 2 3
2 2
( ) 1 1 1 1 ... 4 64 256 ( ) ( )
C a b j j h h h h a^ b a b
A ab
Solid Figure Geometry Formulas:
Name Figure Surface Area (SA) Volume (V) Rectangular Prism
SA 2 wl 2 hl 2 wh V lwh
Triangular Prism
SA ab d a( b c) 1
V 2 abd
Cylinder SA 2 r 2 2 rh V r h^2
2 4 V^ ^ d h this formula can be used if the diameter (d) is known instead of the radius Pyramid SA b^2 b b^2 4 h^212 V 3 b h
Cone SA r 2 r r 2 h^212 V 3 r h
Frustum of a Pyramid
2 2 ( ) ( )^2
SA b B B b B b h
V 13 h B 2 Bb b^2
Frustum of a Cone
2 2 ( ) ( )^2
SA r R R r R r h
V 13 h R 2 Rr r^2
Sphere SA 4 r^243
V 3 r
