Exam Geometry Formulas
The Central Angles of a Polygon
360/n
X angle
<= big+small/2
Included Angle
<=1/2 arc
Tangent-Tangent, Secant-Secant, and Tangent-Secant
<=big-small/2
Area of a Rhombus
A= 1/2 (d1 • d2)
Area of a Trapezoid
A= 1/2 h (b1 + b2)
Area of a Triangle
A= 1/2 l • w
Area of a Regular Polygon
A= 1/2aP
Area of a Parallelogram
A= b • h
Area of a Sector
A= m/360 • πr2
Area of a Circle
A= πr2 (squared)
Circumference
C=2πr
Central Angles
Central Angle = Included Arc Measure
Cosine equation (CAH)
Cosine= Adjacent/Hypotenuse
Length of an Arc
L= m/360 •C
Lateral Area of a Prism
LA= sum of lateral areas
Lateral Area of a Pyramid
LA= sum of lateral areas
Lateral Area of a Cone
LA= πrs
Surface Area of a Cylinder
SA= 2(πr2) + (2πr)h
Surface Area of a Prism
SA= 2B + LA
Lateral Area of a Cylinder
SA= 2πr • h
Surface Area of a Sphere
SA= 4πr2
Surface Area of a Pyramid
SA= B + LA
Surface Area of a Cone
SA= πr2 + (πrs)
Sine equation (SOH)
Sine= Opposite/Hypotenuse
Tangent (TOA)
Tangent= Opposite/Adjacent
The Great Circle
The largest circle inside the sphere
Hemisphere Volume Formula
V = (4/3 πr3) •1/2
Cone Volume Formula
V = 1/3 (b[area of circle] • h)
Pyramid Volume Formula
V = 1/3 b(area of square, rectangle or triangle) • h
Sphere Volume Formula
V = 4/3 πr3 (cubed)
Prism Volume Formula
V= b • h
Cylinder Volume Formula
b (Area of Circle) • h = V
