This document contains formulas for calculating the areas, volumes, and surface areas of various 2D and 3D shapes. It includes formulas for calculating the area of triangles, parallelograms, trapezoids, circles, rhombi/kites, and regular polygons. For 3D shapes it includes formulas for calculating the volume, surface area, and lateral area of rectangular prisms, other prisms, cylinders, pyramids, and cones. It also contains the Pythagorean theorem and formulas for calculating trigonometric ratios, circumferences, and the altitude of a triangle.

1. Part of hypotenuse Altitude
Altitude Other part of hyp.
=
Cos A⁰ =
Tan A⁰ =
A
Sin A⁰ =
Special Right Triangles
Geometry Formula Sheet
Area Formulas (2D Shapes)
Parallelogram A = bh
Triangle A = ½bh
Trapezoid
Circle
Rhombus / Kite A = ½d1d2
Regular Polygon A = ½aP
Formulas (3D Shapes) Volume Surface Area Lateral Area
Rectangular Prism V =bwh SA = 2bh + 2bw + 2hw
Other Prisms V = Bh SA = Ph + 2B LA = Ph
Cylinder V = 2
r hπ SA = 2 rh + 2 2
rπ LA = 2 rh
Pyramid V =
1
3
Bh SA= ½Pl + B LA= ½Pl
Cone V = 21
3
r hπ SA = rl + 2
rπ LA = rl
Sphere V = 34
3
rπ SA = 4
Altitude of a Triangle Formula:
A = ½h(b + b )1 2
A = πr2
KEY
b = base A = area
h = height C = circumference
r = radius B = area of base
a = apothem l = slant height
SA = surface area V = volume
d = diameter or diagonal
P = perimeter or perimeter of base
Circumference
C = πd or C = 2πr
Trigonometric Ratios
opposite
hypotenuse
adjacent
hypotenuse
opposite
adjacent
Pythagorean Theorem: 2 2 2
a b c+ =