Honors Geometry Final Formulas

Created by sarsoftball 

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31 terms · The formulas that were on our final review sheet

Circumference

2πr or πd

Arc Length

a/360 * (2πr)

Area of a Rectangle

A= b*h

Area of a Parallelogram

A= b*h

Area of a Triangle

A= 1/2 b*h

Area of a Trapezoid

A= 1/2 (b1+b2) h

Area of a Kite

A= 1/2 d1*d2

Area of a Regular Polygon

A= 1/2 asn

Area of a Circle

A=πr^2

Area of a Sector

A= (a/360)*πr^2

Area of a Segment

A= (a/360)πr^2 - 1/2 bh
or
sector - triangle

Area of an Annulus

A= πR^2 - πr^2

Surface Area of a Cylinder

SA= 2πr^2 + 2πr*h

Surface Area of a Cone

SA= πr^2 + πr*l

Surface Area of a Sphere

SA= 4πr^2

Surface Area of a Hemisphere

SA= 3πr^2

Pythagorean Theorem

a^2+b^2=c^2

Diagonal of a Box

d= √a^2+b^2+c^2

Distance Formula

AB= √(x2-x1)^2+(y2-y1)^2

Circle Equation, with center '(h,k)' and radius 'r'

(x-h)^2 + (y-k)^2 = r^2

Volume of Prism or Cylinder

V= B*H

Volume of Pyramid or Cone

V= 1/3 B*H

Volume of a Sphere

V= 4/3 πr^3

Volume of a Hemisphere

V= 2/3 πr^3

Trigonometric Ratios

sin(x)= O/H SOH
cos(x)= A/H CAH
tan(x)= O/A TOA

SAS Triangle Area Formula

A= 1/2 ab*sinC

Law of Sines

sinA/a = sinB/b = sinC/c

Law of Cosines

c^2= a^2 + b^2 - 2ab*cosC

Sum of the Interior Angles (with 'n' # of sides)

180(n-2)

Measurement of 1 angle in a Regular Polygon (with 'n' # of sides)

180(n-2) / n

Congruence Shortcuts for Triangles

SSS
SAS
ASA
SAA

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