31 terms

Honors Geometry Final Formulas

The formulas that were on our final review sheet
STUDY
PLAY
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 b*h
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