Maths Geometry and Mensuration

circumference of a circle

2πr or πd

area of a circle

πr²

arc meaning

a part of the circumference of a circle

arc length meaning

a measurement of a part of the circumference of a circle, given the angle of the sector

sector meaning

a part of a circle created by two radii and an arc

subtended angle meaning

an angle within a circle that is created by two chords meeting a point on the circumference of a circle

area of a square and rectangle

l×w

area of a trapezium

1/2(a+b)h

area of a parallelogram

base x height

area of a kite

1/2d1d2

area of a rhombus

1/2d1d2

surface area

2(lw)+2(hl)+2(wh)

curved surface area of a cone

πrl

total surface area of a cone

πrl + πr²

curved surface area of a cylinder

2πrh

total surface area of a cylinder

2πrh + 2πr²

curved surface area of a sphere

4πr²

ml to cm³

1mL = 1cm³

L to cm³

1L = 1000cm³

volume of a prism

area of a cross section × length of the prism

volume of a pyramid

1/3 x area of base x height

volume of a sphere

4/3πr³

arc length formula

2πr (m⁰/360⁰)

arc length formula (radians)

rθ