geometric formulas

Apuntes

geometric formulas Formulas for area A, perimeter P, circumference C, volume V : Rectangle Box A 5 l„ V 5 l„ h P 5 2l 1 2„ „ l h l „ Triangle Pyramid A 5 1 2 bh V 5 1 3 ha 2 h b a a h Circle Sphere A 5 pr 2 V 5 4 3 pr 3 C 5 2pr A 5 4pr 2 r r Cylinder Cone V 5 pr 2 h V 5 1 3 pr 2 h h h r r heron’s formula Area 5 !s1s 2 a2 1s 2 b2 1s 2 c2 where s 5 a 1 b 1 c 2 exponents and radicals x m x n 5 x m1n 1 x m 2 n 5 x mn 1 x y2 n 5 x n y n x 1/n 5 ! n x ! n xy 5 ! n x ! n y " m ! n x 5 " n ! m x 5 ! n m x special products 1 x 1 y 2 2 5 x 2 1 2 x y 1 y 2 1 x 2 y 2 2 5 x 2 2 2 x y 1 y 2 1 x 1 y 2 3 5 x 3 1 3x 2 y 1 3x y 2 1 y 3 1 x 2 y 2 3 5 x 3 2 3x 2 y 1 3x y 2 2 y 3 factoring formulas x 2 2 y 2 5 1 x 1 y 2 1 x 2 y 2 x 2 1 2xy 1 y 2 5 1 x 1 y 2 2 x 2 2 2xy 1 y 2 5 1 x 2 y 2 2 x 3 1 y 3 5 1 x 1 y 2 1 x 2 2 xy 1 y 2 2 x 3 2 y 3 5 1 x 2 y 2 1 x 2 1 xy 1 y 2 2 Quadratic formula If ax 2 1 bx 1 c 5 0, then x 5 2 b 6 "b 2 2 4ac 2a ineQualities and absolute value If a , b and b , c, then a , c. If a , b, then a 1 c , b 1 c. If a , b and c . 0, then ca , cb. If a , b and c , 0, then ca . cb. If a . 0, then 0 x 0 5 a means x 5 a or x 5 2a. 0 x 0 , a means 2a , x , a. 0 x 0 . a means ...