Circumference and Circle
Move point P.
Analysis 1
What do you notice about point P?
Definitions and Elements
Circumference is the set of points of a plane whose distance to a certain point (center) of that plane is equal to a certain (non-zero) distance. This distance is the radius of the circumference.
Geometric Representation
Algebraic Representation
Consider a plane , a point O of and a distance r,
Where represents the circumference of center O and radius r.
Move Point X.
Position of the point and circumference
Consider a point X and a circumference ,
X is internal to
X is within ,
Chord, Diameter and Radius
ARC AND SEMICIRCUNFERENCE
CIRCLE - Linguistic Representation
Circle is the set of points of a plane whose distance to a certain point (center) of that plane is less than or equal to a certain (non-zero) distance.
CIRCLE - Figural representation
Algebraic Representation
Center circle A and radius r