JB Geometry Formulae Flashcards
Ar of eq triangle of side a
(√3 x a^2) /4
30° - 60° - 90° sides ratio
1 : √3 : 2
45° - 45° - 90° sides ratio
1 : 1 : √2
triangle abc ~ triangle efg, ratio of side
ab/ef = bc/fg = ca/ge = h1/h2 = k
triangle abc ~ triangle efg, ratio of area
ar(abc)/ ar(efg) = (ab)^2 / (ef)^2 = k
ar of trapezoid
1/2 x (sum of //el sides) x (distance b/w //el sides)
Area of parallelogram
base x height
Area of rhombus
1/2 x diagonal 1 x diagonal 2
Ar of rectangle
length x width
Area of sqaure
side ^ 2
or
1/2 x diagonal^2
sum of interior angles of polygon of side n
180° x (n-2)
num of diagonals in polygon of side n
[ n x (n-3) ] / 2
length of arc of circle with angle x
( x / 360 ) x 2 x pi x r
length of arc of circle with angle x
( x / 360 ) x 2 x pi x r
length of arc of circle with angle x
( x / 360 ) x 2 x pi x r
ratio of angle at center: angle on any point on circle from two points A & B
2 : 1
diagonal of 3d rectangular solid
d = √( l^2 + b^2 + h^2)
vol of 3d rectangular solid
lbh
TSA of 3d rectangular solid
2(lb+bh+hl)
diagonal of 3d cube
√3 x a
vol of 3d cube
a^3
TSA of 3d cube
6 x a^2
vol of right circular cylinder
pi x r^2 x h
CSA of right circular cylinder
2 x pi x r x h
TSA of right circular cylinder
2 x pi x r (r +h)
slant height (l) of right circular cone
√( r^2 + h^2)
vol of right circular cone
1/3 x pi x r^2 x h
CSA of right circular cone
pi x r x l
TSA of right circular cone
pi x r x ( l +r )
vol of sphere
4/3 x pi x r^3
TSA of sphere
4 x pi x r^2
