Want this question answered?
The three parts are:the interior of the circle, the points on the circle (points on its circumference) the outside of the circle.
yes, any three non collinear points will make a circle, however, four or more will not
No. Unless the centrepoint of a circle is defined as a point of a circle.
Three.
Every set of three points is Concyclic !
The three parts are:the interior of the circle, the points on the circle (points on its circumference) the outside of the circle.
yes, any three non collinear points will make a circle, however, four or more will not
Yes. In fact, given any three non-collinear points, there is one (and only one) circle that passes through all three points.
Draw three whole circles and then draw a circle from which a quarter segment is cut out.
No, a circle can never pass through three points of a straight line. The circle will touch 1) no points of the line, 2) one point of the line (which is now tangent to the circle), or 3) two points of the line. A line can contain (at most) twopoints that lie on the line.
No. Unless the centrepoint of a circle is defined as a point of a circle.
Two points do not provide enough information to define a circle: a minimum of three points is required to uniquely define a circle unless one of the points happens to be the centre and the other is on the circle. In that case, however, it is necessary to know which is which.
three
No it cannot.
Three.
Every set of three points is Concyclic !
It is typically named using one point, which is the center. Sometimes, a circle could be referred to "a circle with diameter AB" in which two points are named. However, you need three non-collinear points to uniquely determine a circle.