Perimeter, area and volume

Area of a quadrilateral

base x height

Area of a triangle

½ base x height

Area of a trapezium

½ (a + b) x height

a and b are the two parallel sides

Area of a circle

A = pie x radius squared

Circumference of a circle

circumference = 2 x radius squared

Area of a sector

x = angle written in sector

x/360 x area of full circle

Length of arc

x = angle written in sector

x/360 x circumference of full circle

Perimeter of a sector

length of arc + 2r

Surface area of a cylinder

(2 x pie x radius x height) + (2 x pie x radius squared)

Volume of cuboids and cubes

volume = length x width x height

Volume of prisms

Volume = area of cross section x length

Area of a sphere

4 x pie x radius squared

Volume of a sphere

4/3 x pie x radius cubed

Area of a cone

4 x pie x radius squared

Volume of a cone

1/3 x pie x radius squared x height

(to find height, you may need to use Pythagoras - the height is NOT the same as the length