planar figure
two dimensional figure
curve
a set of continuous points
simple curves
a curve that does not intersect itself
closed curves
a curve that begins and ends at the same point
circle
The set of all points in a plane and are a given distance from a given point
given point
the center of the circle
radius
any segment from the center to the edge
region
the union of a simple curve and its interior
concave
a set is concave if a segment can be drawn whose endpoints are in the set but the segment is not completely contained in the set
convex
a set is convex if every segment with end points in the set completely contained in the set
polygon
simple closed curves only consisting of segments (segment is a side, endpoints are vertexes)
equilateral
having all sides equal in length
equiangular
having equal angles
regular polygons
both equilateral and equiangular
triangle
three sides
quadrilateral
four sides
pentagon
five sides
hexagon
six sides
heptagon
seven sides
octagon
eight sides
nonagon
nine sides
decagon
ten sides
hendecagon
eleven sides
dodecagon
twelve sides
n
n-gon (any number after twelve)
diagonals of a polygon
segments that go from one vertex to another nonconsecutive vertex
Peremeter
sum of all sides (distance around the figure)
Perimeter of a regular polygon
p=ns
diameter of a circle
Radius x 2
chord
any segment in a circle whose endpoints are on the circle (doesn't have to include the center)
diameter
a chord that contains the circle's center
arc
a curve that is a subset of the circle
circumfrence
distance around a circle