archimedes derived the formula for area of a circle from viewing the circle as the limit of a sequence of regular polygons.
archimedes derived the formula for area of a circle from viewing the circle as the limit of a sequence of regular polygons.
where did archimedes derive the formula for area of a circle come from?
viewing the circle as the limit of a sequence of regular polygons
one method of deriving this formula, which originated with archimedes, involves viewing the circle as the limit of a sequence of regular polygons. the area of a regular polygon is half its perimeter multiplied by the distance from its center to its sides, and the corresponding formula (that the area is half the perimeter times the radius, i.e. ) holds in the limit for a circle.
area of a circle
list of things named after archimedes









































archimedes (c. 287 bc – c. 212 bc) is the eponym of all of the things (and topics) listed below.









































section::::mathematical concepts.









































bullet::::- archimedean absolute value









































bullet::::- archimedean circle









































bullet::::- archimedean copula









































bullet::::- archimedean group









































bullet::::- archimedean ordered field









































bullet::::- archimedean point









































bullet::::- archimedean property









































bullet::::- archimedean solid









































bullet::::- archimedean spiral









































bullet::::- archimedean tiling









































bullet::::- archimedes' axiom









































bullet::::- archimedes' cattle problem









































bullet::::- archimedes' hat-box theorem









































bullet::::- archimedes constant









































bullet::::- archimedes number









































bullet::::- archimedes' quadruplets









































bullet::::- archimedes square









































bullet::::- archimedes' twin circles









































bullet::::- heron–archimedes formula









































bullet::::- non-archimedean geometry









































bullet::::- non-archimedean ordered field









































bullet::::- archimedes' ostomachion
list of things named after archimedes