# Sector A **sector** of a [[circle]] is the region formed by two radii and the arc of the circle between them. +-- {: .image} [[Sector.png:pic]] =-- ## Area of a Sector The [[area]] of a sector of a circle of radius $r$ which has angle $x$ at the centre is given by: $$ \frac{x}{360} \pi r^2 $$ ## Perimeter of a Sector The [[perimeter]] of a sector of a circle of radius $r$ which has angle $x$ at the centre is given by: $$ 2 r + \frac{x}{180} \pi r $$ [[!redirects area of a sector]] [[!redirects sector area]]