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Can the locus of points idea be used to define straight lines circles and even more complex shapes such as parabolas?
true for apex
Is it possible to have five circles with the same center?
Yes. The circles can be of different size. These are called concentric circles.
What is the cross-sectional area of a 3D shape all about - explained simply as possible please?
You have a 3-d shape. If you slice of a part of it with a very very sharp instrument (a sharp sword or a laser, for example) the cross section is the shape of the newly cut surface. So, if you start with a sphere, any section will be a circle. Of different sizes depending on how high or low you cut, but they'll all be circles. If you have a cone, a dead vertical cut, through its apex (top point) will be a triangle. But as you move off the apex, you will get a parabola. Cut is horizontally, though, and you will get circles - ncreasing in size as you move further from the apex. Cut it at a slight slant and you will get ellipses (ovals). And so on.
What are circles having the same center?
concentric circles
What has 2 circles?
A cylinder has two circles as its bases.
