FORMULAS AND THEOREMS
- Quadratic Formula:
ax^2 +bx+c=0(a=/0)x=−b±√
b^2 − 4 ac
2 a- Distance Formula:
d=√
(x 2 −x 1 )^2 +(y 2 −y 1 )^2- Equation of a Circle:
x^2 +y^2 =r^2 center at (0, 0) and radius=r.- Equation of an Ellipse:
x^2
a^2+
y^2
b^2=1 center at (0, 0).SOLID VOLUME SURFACE AREA
Sphere4
3
πr^34 πr^2Right circular cylinder πr^2 h Lateral S.A.: 2πrh
Total S.A.: 2πrh+ 2 πr^2Right circular cone1
3
πr^2 h Lateral S.A.:πr√
r^2 +h^2
Total S.A.:πr^2 +πr√
r^2 +h^2- Special Angles:
ANGLE 0 ◦ π/
6 π/
4 π/
3 π/
2 π 3 π/
22 π
FUNCTION 30 ◦ 45 ◦ 60 ◦ 90 ◦ 180 ◦ 270 ◦ 360 ◦
Sin 0 1/
2√
2/
2√
3/
21 0 − 10
Cos 1√
3/
2√
2/
21/
20 − 10 1
Tan 0√
3/
31√
3 Undefined 0 Undefined 0(x−h)^2
a^2+
(y−k)^2
b^2=1 center at (h,k).- Area and Volume Formulas:
FIGURE AREA FORMULA
Trapezoid1
2
[base 1 +base 2 ] (height)Parallelogram (base)(height)Equilateral triangles^2√
3
4
Circle πr^2 (circumference= 2 πr)433