-A sphere is defined as the set of points that is at equal distances from a common point in three dimensional space. This constant distance is called radios of Sphere and the common Point is the center of Sphere.[br]-A sphere is always Round and it doesn't have any Sides or flat Surfaces.[br]-In, this applet we show the net of sphere. An example of Sphere in real life is ball.
Design an applet to Show Net of sphere.
Move/play the slider 't' then there becomes a net of Sphere. We know that the sphere occupies the biggest Space but has smallest Surface area.
To create the Net of Sphere we follow the Following Construction Steps:-[br]1. Open the new GeoGebra window .[br]2. Create the number slider 't' with min-0 and max-2 and increment- 0.01and another number slider R with min-1 and max-5.[br]3.Open the 3D graphics view.[br]4 Input :Surface((t(-R)+(1-t)R sin(-u[math]\pi[/math]/4))cos(v),(t(-R)+(1-t)R sin(-u[math]\pi[/math]/4))Sin(v),t sin((u/4*2R-R)/2[math]\pi[/math])+(1-t)(-R)cos(-u Pi/4))u,o,4,v,0,2 Pi) by using input tool.[br]5.Input: Surface ((t-1) (-R)+2-t)R cos(-u),(t-1)(U R-Pi R)+(2-t)R sin(-u),sin((v/4*2R-R)/2 Pu),u,0,2 Pi,v,0,4). by using input tool.[br]6. Condition to show of Surface a is t<=1 and surface b is t>1.by using object properties.[br]7 Enhance your construction by using object properties.
Q.n 1) Construct the net of Sphere by following the construction Protocol.