Maths - Measurement Geometry Flashcards
circumference of circle
2πr
πd
area of circle
πr^2
arc length sector of circle
θ/360 x 2πr
area of sector of circle
θ/360 x πr^2
area of trapezium
1/2h(a+b)
area of rhombus and kite
1/2(product of diagonals)
volume of any prism
area x h
volume of rectangular prism
lbh
surface area of cylinder
2πrh + 2πr^2
volume of cylinder
πr^2h
Curved surface area of cylinder
2πrh
volume of a polygon
V = A1h + A2h + A3h + A4h
volume of pyramid
V =1/3 × area of base × height.
V = 1/3Ah
surface area of cone
A = πrl + πr^2
volume of cone
V= 1/3 x π x r^2 x h V= 1/3πr^2h
surface area of sphere
S = 4πr^2
volume of sphere
V = 4/3 x π x r^3, V = 4/3πr^3
enlargement
Let k > 0.
• If a plane figure is enlarged by a factor of k, then the area of the figure is multiplied by
a factor of k^2.
• If a solid is enlarged by a factor of k, then the surface area of the solid is multiplied by
a factor of k^2.
• If a solid is enlarged by a factor of k, then the volume of the solid is multiplied by a
factor of k^3.
