Finding the center of a circle – intersecting circles
- Author:
- gilad
- Topic:
- Circle
Using the Geogebra software one can move one of the circles (closer or farther apart), with the points C and E remaining fixed and the chords passing through the points of intersection of the circles. After moving the circle there are several options:
1. The chords CF and ED do not intersect and a trapezoid is formed.
2. The chords CF and ED intersect at a point on the circle (F and D coincide) and a trapezoid is not formed.
3. The chords CF and ED intersect inside the circle and a trapezoid is formed.
4. The circles are tangent to each other from the inside or from the outside (A and B coincide). The chords CF and ED intersect at the point of tangency and a trapezoid is formed.