You can use GeoGebra
to draw cones. GeoGebra
has four built-in tools for drawing cones depending on the information you have about the cone:
If you have been given a circle and a height, choose Item 4.
If you know the center of the base, the apex, and the radius, choose Item 4 or Item 5.
If you have been given a base point, a vector, and an angle, choose Item 5.
GeoGebra
Instruction 1
Algebra View
and Graphics View
under View
in Menu
. Circle with Center through Point
or Circle: Center & Radius
to draw a circle in Graphics View
. Cone(Circle, Height)
in Algebra View
.
Circle
field with the name of the circle that you have drawn, and replace the Height
field with the height that you want for the cone. The cone will now appear in 3D Graphics
. The volume of the cone is shown in Algebra View
.
Example 1
Draw a cone in GeoGebra
with a radius of 3 and a height of 2.
Follow Item 4 for solving this exercise. Draw a circle in Graphics View
with radius 3 and type
Cone(Circle, Height)
in Algebra View
. Replace the Circle
field with the name of the circle and replace the Height
field with 2. The cone will now appear in 3D Graphics
.
GeoGebra
Instruction 2
Cone
Tool
Algebra View
and 3D Graphics
under View
in Menu
. Cone
tool. 3D Graphics
. The first point you select is the center of the base and the second point is the apex of the cone. The cone will now appear in 3D Graphics
. The volume of the cone is shown in Algebra View
.
GeoGebra
Instruction 3
Algebra View
and 3D Graphics
under View
in Menu
. Cone(Point, Point, Radius)
in Algebra View
.
Point
field with the coordinates of the center of the base. Point
field with the coordinates of the apex. Radius
field with the desired radius. The cone will now appear in 3D Graphics
. The volume of the cone is shown in Algebra View
.
Example 2
Draw a cone in GeoGebra
using the coordinates (0, 0, 0) as the center of the base and (0, 0, 6) as the apex, and let the base have a radius of 4.
Follow Item 4 by typing
Cone(Point, Point, Radius)
in Algebra View
. Then type in the values in the fields they belong to, and the cone will appear in 3D Graphics
.
GeoGebra
Instruction 4
Algebra View
and Graphics View
under View
in Menu
. Cone(Point, Vector, Angle)
in Algebra View
.
Point
field with coordinates of your point. This will be the center of the base. Vector
field with the coordinates of your vector. Angle
field with a value of your angle. The angle must be written using radians. The cone will now appear in 3D Graphics
. The volume of the cone is displayed in Algebra View
.
Example 3
Draw a cone in GeoGebra
using (3, 4, 0) as the center of the base, a vector that passes through $\phantom{\rule{-0.17em}{0ex}}\left(1,2,0\right)$, and an angle of $\text{}45\text{}\text{\xb0}$.
Follow Item 5 for solving this exercise. In Algebra View
, type
Cone(Point, Vector, Angle)
and type the values into the fields they belong to. Recall that you have to type the angle in radians in the Angle
field, which in this case is $\frac{\pi}{4}$. The cone will appear in 3D Graphics
.