A circle will be produced when slicing a cone with a plane that is parallel to the base of the cone.
Given that,
The shape will be produced when you slice a cone with a plane that is parallel to the base of the cone is to be determined.
The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k). The equation of the circle is given by
(x - h)² + (y - k)² = r².
where h, k is the coordinate of the center of the circle on coordinate plane and r is the radius of the circle.
Since the base of the cone is a circle and when preceding to top of cone this circle shrinks concentrically, that why, when the plane parallel to base sliced the cone the shape produced is also a circle.
Thus, a circle will be produced when slicing a cone with a plane that is parallel to the base of the cone.
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