What shape is cross section of a cone?

Answer 1

It depends on the angular plane of the Cross-section, to the conic axis.

The conic-axis is a line from the point of the cone to the centre of a circular cross-section.

#1 ; Cross section perpendicular to the acix is a CIRCLE.

#2 ; Cross section angled to ther sides of the cone is an ELLIPSE

#3 ; Cross section were the ends do not touch the circular face is a PARABOLA

#4 ' Cross sectional plane which is parallel to the axis is a HYPERBOLA.

The Cartesian Equations for each type are ;-

#1 ; Circle ' x^(2) + y^(2) = 1

#2 ; Ellipse ' x^(2)/a^(2) + y^(2)/b^(2) = 1

#3 ; Parabola ' y^(2) = 4ax

#4 ; Hyperbola ' x^(2)/a^(2) - y^(2)/b^(2) = 1

Answer 2

Circular when looking up at it