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Circle Formulas


A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

Radius is the distance between any point of the circle and the centre.

Diameter is a straight line segment whose endpoints lie on the circle and that passes through the centre.


Circumference of a circle

C=2×π×r=π×d


where,

π— pi or Archimedes's constant is a mathematical constant, that is a ratio of a circle's circumference to its diameter, approximately equal to 3.14159265359;
r— circle's radius;
d— circle's diameter.


Area of a circle

S=π×r2=π×d24


The area of as circle is ~78,539816339% (i.e π/4) of the area of a surrounding square.


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