Chord Theorem for circle
a^2 =x(2R−x)Right Circular Cylinder
V =Volume=(Area of base)(height)= (πr^2 )h
Lateral surface area= 2πrh
Total surface area= 2πrh+ 2(πr^2 )Right Circular Cone
V =Volume=1
3 πr(^2) h
Lateral surface area=πr`=πr
√
h^2 +r^2
height =h, base radiusr
Algebra
Products and Factors
(x+a)(x+b) =x^2 + (a+b)x+ab
(x+a)^2 =x^2 + 2ax+a^2
(x−b)^2 =x^2 − 2 bx+b^2
(x+a)(x+b)(x+c) =x^3 + (a+b+c)x^2 + (ac+bc+ab)x+abc
x^2 −y^2 = (x−y)(x+y)
x^3 −y^3 = (x−y)(x^2 +xy+y^2 )
x^3 +y^3 = (x+y)(x^2 −xy+y^2 )
x^4 −y^4 = (x−y)(x+y)(x^2 +y^2 )
Ifax^2 +bx+c= 0, thenx=
−b±
√
b^2 − 4 ac
2 a