a (n) is produced when you slice a cone with a plane that is parallel to the base of the cone

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22-01-2015
Mathematics

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a (n) is produced when you slice a cone with a plane that is parallel to the base of the cone

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AL2006 AL2006 · Answer 1 · 2015-01-22T12:58:58-05:00

AL2006 AL2006

22-01-2015

The conic section formed by the cone and a plane parallel to its base is a circle.

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priyankapandeyVT priyankapandeyVT · Answer 2 · 2022-08-12T08:33:00-04:00

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.

What is a circle?

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.

Learn more about circle here:

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