no
Strictly speaking a circle has no face since it is only a set of points, not the area enclosed by that set of points.
yes
no, because it should be a segment .
It varies. There is no set diameter of a circle.
no
Strictly speaking a circle has no face since it is only a set of points, not the area enclosed by that set of points.
the set f all points of the plane which lie either on the circle or inside the circle form the circular region
the union of two convex sets need not be a convex set.
Parenthesis indicate that the enclosed members are a set. The brackets indicate that what enclosed Êinside of itÊis an option.
yes
The answer depends on how it is halved. If the plane is divided in two by a step graph (a zig-zag line) then it will not be a convex set.
A convex polygon is one with no reflex angles (angles that measure more than 180 degrees when viewed from inside the polygon). More generally a convex set is on where a straight line between any two points in the set lies completely within the set.
no, because it should be a segment .
It can be if the set consists of convex shapes, for example.
correct.
The solution set is all points on the circle.