GCSE Maths: Equations for Arcs & Sectors

area of circle

A = πr²

circumference of circle

C = 2πr

volume of cone

V = (1/3)πr²h

volume of sphere

V = (4/3)πr³

volume of pyramid

V = (1/3) * base area * height

volume of frustrum.

V = vol. of bigger cone - vol. of smaller cone

curved surface of cone

A = πrl (l is the slant height of cone)

total surface area of cone

A = πrl + πr²

surface area of sphere

A = 4πr²

arc length

L = θ/360 * πd

area of sector

A = θ/360 * πr²

area of ABC triangle

A = (1/2)abSinC

area of segment

area of sector - triangle