<sod>A '''circle''' is a simple closed [[shape]] in [[Euclidean geometry]]. It is the set of all [[point (geometry)|points]] in a [[plane (mathematics)|plane]] that are at a given distance from a given point, the<!--  This article is written using British English – see WP:ENGVAR, Wikipedia articles should remain with the original variant 'center' is the American English spelling  --> [[Centre (geometry)|centre]];<!--see comment before about 'center'--> equivalently it is the curve traced out by a point that moves so that its distance from a given point is constant. The distance between any of the points and the centre is called the [[radius]].<eod>
<sod>A '''circle''' is a curved closed [[shape]] in [[Euclidean geometry]]. It is the area including the set of all [[point (geometry)|points]] in a [[plane (mathematics)|plane]] that are within a given distance from a given point, the<!--  This article is written using British English – see WP:ENGVAR, Wikipedia articles should remain with the original variant 'center' is the American English spelling  --> [[Centre (geometry)|centre]];<!--see comment before about 'center'--> equivalently it is the curve traced out by a point that moves so that its distance from a given point is constant. The distance between any of the points and the centre is called the [[radius]].<eod>