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
Sphere
4
3
πr^34 πr^2
Right circular cylinder πr^2 h Lateral S.A.: 2πrh
Total S.A.: 2πrh+ 2 πr^2
Right circular cone
1
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
Trapezoid
1
2
[base 1 +base 2 ] (height)
Parallelogram (base)(height)
Equilateral triangle
s^2
√
3
4
Circle πr^2 (circumference= 2 πr)
433