Miscellaneous


Geometry and Algebra Equations

Geometry

Object(Surface) AreaVolumeCircumference
Triangle
triangle with side a, base b, included angle theta, and height h
1/2 bh =
1/2 ab sin theta
--- ---
Trapezoid
trapezoid with top a, base b, and height h
(a + b)/2 h --- ---
Parallelogram
parallelogram with base b and height h
bh --- ---
Circle
circle with radius r
betar2 --- 2betar
Sector of Circle
sector of circle with radius r and angle theta in radians
1/2 r2 theta --- Arc length s = r theta
Sphere
sphere with radius r
4betar2 4/3 betar3 ---
Cone, Right Circular
right circular cone with radius r, height h and side s
betar2 + betars =
betar2 + betar square root(r2 + h2)
1/3 betar2h ---
Cylinder, Right Circular
right circular cylinder with radius r and height h
2betar2 + 2betarh betar2h ---
Object(Surface) AreaVolumeCircumference


Equation of a Straight Line

       Slope
     m =  rise   =   y2 - y1      


 run   x2 - x1 
 
Slope-Intercept Form
     y = mx + b,
where m is the slope of the line and
b is the y-axis intercept.
 
General Linear Equation
     Ax + By + C = 0,
when A and B are not both 0


Quadratic Equation

ax2 + bx + c = 0  such that  x =   -b ± square root of(b2 - 4ac) 

2a


Arithmetic Terms

Addition              Subtraction
      addend      minuend
+     augend
- subtrahend
=        sum = difference
 
Multiplication          Division
   multicand     dividend
× multiplier
÷    divisor
=    product =   quotient


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DISCLAIMER

Page author: Dawn Rorvik (rorvikd@evergreen.edu)
Last modified: 05/20/2003