Difference between revisions of "Geogebra/C3/Mensuration/English-timed"

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(Created page with '{| border=1 !Time !Narration |- |0:00 |Hello everybody Welcome to this tutorial on Mensuration in Geogebra. |- |0:06 |In this tutorial, we will learn to find |- |0:09 |Area a…')
 
 
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{| border=1
 
{| border=1
!Time
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|'''Time'''
!Narration
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|'''Narration'''
  
 
|-
 
|-
|0:00
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|00:00
|Hello everybody
+
|Hello everybody Welcome to this tutorial on '''Mensuration in Geogebra'''.  
Welcome to this tutorial on Mensuration in Geogebra.  
+
  
 
|-
 
|-
|0:06
+
|00:06
|In this tutorial, we will learn to find
+
|In this tutorial, we will learn to find:
  
 
|-
 
|-
|0:09
+
|00:09
 
|Area and perimeter of rhombus  
 
|Area and perimeter of rhombus  
 
   
 
   
 
|-
 
|-
|0:12
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|00:12
|Surface area of sphere and cone  
+
| Surface area of sphere and cone
  
 
|-
 
|-
|0:15
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|00:15
|Volume of sphere and cone
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| Volume of sphere and cone.
  
 
|-
 
|-
|0:20
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|00:20
 
|We assume that you have the basic working knowledge of Geogebra.
 
|We assume that you have the basic working knowledge of Geogebra.
  
 
|-
 
|-
|0:24
+
|00:24
|For Relevant tutorials on Geogebra,
+
|For relevant tutorials on Geogebra,
  
 
|-
 
|-
|0:27
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|00:27
|Please visit our website
+
|please visit our website.
  
 
|-
 
|-
|0:31
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|00:31
|To record this tutorial I am using
+
|To record this tutorial, I am using:
  
 
|-
 
|-
|0:33
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|00:33
|Ubuntu Linux OS Version 11.10
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|'''Ubuntu Linux OS''' Version 11.10
  
 
|-
 
|-
|0:38
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|00:38
|Geogebra Version 3.2.47.0  
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|'''Geogebra''' Version 3.2.47.0  
  
 
|-
 
|-
|0:42
+
|00:42
|We will use the following Geogebra tools
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|We will use the following Geogebra tools:
  
 
|-
 
|-
|0:46
+
|00:46
|Segment between two points  
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|'''Segment between two points'''
  
 
|-
 
|-
|0:48
+
|00:48
|Circle with center and radius  
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|'''Circle with center and radius'''
  
 
|-
 
|-
|0:51
+
|00:51
|Ellipse  
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|'''Ellipse''' '''Polygon'''
  
 
|-
 
|-
|0:52
+
|00:54
|Polygon
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|'''New point and
  
 
|-
 
|-
|0:54
+
|00:56
|New point and
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|'''Insert text''' Let's open a new '''Geogebra''' window.
  
 
|-
 
|-
|0:56
+
|01:00
|Insert text
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|Click on '''Dash home''' and '''Media Apps'''. Under '''Type''', choose '''Education and Geogebra'''
  
 
|-
 
|-
|0:57
+
|01:13
|Let's open a new Geogebra window.
+
|Let's find the area of a '''rhombus'''.
  
 
|-
 
|-
|1:00
+
|01:15
|Click on Dash home and Media Apps. Under Type, choose Education and Geogebra
+
|Let's use the file '''quadrilateral.ggb''' of the previous tutorial.  
  
 
|-
 
|-
|1:13
+
|01:20
|Let's find the area of a rhombus.
+
|Click on File, Open, click on '''quadrilateral.ggb'''.
  
 
|-
 
|-
|1:15
+
|01:27
|Let's use the file quadrilateral.ggb of the previous tutorial
+
|Click on '''Open'''.  
  
 
|-
 
|-
|1:20
+
|01:29
|Click on File, Open click on quadrilateral.ggb
+
|Area of the Rhombus =1/2 * product of diagonals.  
  
 
|-
 
|-
|1:27
+
|01:34
|click on 'Open'
+
|To demonstrate it:
  
 
|-
 
|-
|1:29
+
|01:36
|Area of the Rhombus =1/2 * product of diagonals
+
|Click on the '''Insert Text''' tool.
  
 
|-
 
|-
|1:34
+
|01:39
|To demonstrate it
+
|Click on the drawing pad. A text box opens.
  
 
|-
 
|-
|1:36
+
|01:44
|Click on the “Insert text” tool
+
|'''Area of the rhombus ='''+(1/2 g f)
  
|-
+
Open the double quotes(“), type: Area of the rhombus = close the double quotes '''+'''
|1:39
+
|Click on the drawing pad
+
A text box opens
+
  
|-
+
for concatenation open the brackets, type: '''1/2''' space '''f''' space '''g'''
|1:44
+
|“Area of the rhombus =”+(1/2 g f)
+
  
Open the double quotes(“) type
+
close the bracket '''f''' and '''g''' are the diagonals of the rhombus.
 
+
Area of the rhombus = close the double quotes
+
 
+
'+' for concatenation open the brackets type
+
 
+
'1/2' space 'f' space 'g'
+
 
+
close the bracket
+
 
+
'f' and 'g' are the diagonals of the rhombus  
+
  
 
|-
 
|-
|2:09
+
|02:09
|Click Ok.
+
|Click '''OK'''.
  
 
|-
 
|-
|2:11
+
|02:11
 
|Area of rhombus is displayed here on the drawing pad.  
 
|Area of rhombus is displayed here on the drawing pad.  
  
 
|-
 
|-
|2:14
+
|02:14
|Next, let's find Perimeter
+
|Next, let's find perimeter.
  
 
|-
 
|-
|2:17
+
|02:17
|Click on the “Insert text” tool  
+
|Click on the '''Insert text''' tool.
  
 
|-
 
|-
|2:19
+
|02:19
|Click on the drawing pad.  
+
|Click on the drawing pad. A text box opens.
A text box opens.
+
  
 
|-
 
|-
|2:22
+
|02:22
|Open the double quotes(“) type
+
|Open the double quotes(“) type: '''Perimeter of the rhombus ='''+(4 a) close double quotes '+' open the brackets
 
+
Perimeter of the rhombus =+(4 a)
+
 
+
close double quotes '+' open the brackets
+
 
+
'4' space 'a' close the brackets
+
  
'a' is the side of the rhombus  
+
'''4''' space 'a' close the brackets '''a''' is the side of the rhombus.
  
 
|-
 
|-
|2:44
+
|02:44
|Click Ok.
+
|Click '''OK'''.
  
 
|-
 
|-
|2:46
+
|02:46
 
|Perimeter of rhombus is displayed here on the drawing pad.  
 
|Perimeter of rhombus is displayed here on the drawing pad.  
  
 
|-
 
|-
|2:50
+
|02:50
 
|Let's now save the file.
 
|Let's now save the file.
  
 
|-
 
|-
|2:53
+
|02:53
|Click on “File” and "Save As".
+
|Click on '''File''' and '''Save As'''.
  
 
|-
 
|-
|2:55
+
|02:55
|I will type the filename as "rhombus-area-perimeter"
+
|I will type the filename as '''rhombus-area-perimeter'''
  
 
|-
 
|-
|3:12
+
|03:12
|Click on “Save”.  
+
|Click on '''Save'''.  
  
 
|-
 
|-
|3:17
+
|03:17
|As an assignment i would like you  
+
|As an assignment, I would like you to find area and perimeter of a trapezium,
To find area and perimeter of trapezium,
+
  
 
|-
 
|-
|3:22
+
|03:22
|use output of file “cons-trapezium.ggb”
+
|use output of file '''cons-trapezium.ggb'''.
  
 
|-
 
|-
|3:27
+
|03:27
|Rename object 'g' as 'b'
+
|Rename object '''g''' as '''b'''.
  
 
|-
 
|-
|3:30
+
|03:30
 
|Formula for area = (half sum of parallel sides) * (vertical height) = (a+b)/2* h
 
|Formula for area = (half sum of parallel sides) * (vertical height) = (a+b)/2* h
  
 
|-
 
|-
|3:40
+
|03:40
 
|Formula for perimeter =(sum of the sides) =(a+b+c+d)  
 
|Formula for perimeter =(sum of the sides) =(a+b+c+d)  
  
 
|-
 
|-
|3:49
+
|03:49
 
|The output of the assignment should look like this.  
 
|The output of the assignment should look like this.  
  
 
|-
 
|-
|3:54
+
|03:54
|Let's open a new Geogebra window to draw a sphere
+
|Let's open a new Geogebra window to draw a sphere.
  
 
|-
 
|-
|3:58
+
|03:58
|Click on “File” , “New”
+
|Click on '''File''' , '''New'''
  
 
|-
 
|-
|4:01
+
|04:01
|Click on the “Circle with center and radius” tool from the toolbar  
+
|Click on the '''Circle with Center and Radius''' tool, from the toolbar.
  
 
|-
 
|-
|4:06
+
|04:06
|Click on the drawing pad point 'A'  
+
|Click on the drawing pad point '''A'''. A text box opens.
A text box opens.
+
  
 
|-
 
|-
|4:11
+
|04:11
|enter value '2' for radius.  
+
|Enter value '''2''' for radius.  
  
 
|-
 
|-
|4:13
+
|04:13
|Click OK
+
|Click '''OK'''.
  
 
|-
 
|-
|4:15
+
|04:15
|A circle with center 'A' and radius '2cm' is drawn.  
+
|A circle with center '''A''' and radius '''2cm''' is drawn.  
  
 
|-
 
|-
|4:19
+
|04:19
|Select “New point” tool from tool bar mark a point 'B' on the circumference of the circle  
+
|Select '''New point''' tool from tool bar, mark a point '''B''' on the circumference of the circle.
  
 
|-
 
|-
|4:26
+
|04:26
|Select “Segment between two points” tool
+
|Select '''Segment between two points''' tool.
  
 
|-
 
|-
|4:29
+
|04:29
|Join points 'A' and 'B' as radius of the circle  
+
|Join points '''A''' and '''B''' as radius of the circle.
  
 
|-
 
|-
|4:34
+
|04:34
|Let's draw an ellipse “CDE” in the horizontal direction,
+
|Let's draw an ellipse '''CDE''' in the horizontal direction, to touch the circumference of the circle.  
to touch the circumference of the circle.  
+
  
 
|-
 
|-
|4:42
+
|04:42
|Click on “Ellipse” tool  
+
|Click on '''Ellipse''' tool.
  
 
|-
 
|-
|4:45
+
|04:45
|Mark points 'C' and 'D' diagonally opposite to each other on the circumference
+
|Mark points '''C''' and '''D''' diagonally opposite to each other on the circumference and a third point '''E''' inside the circle.
and a third point 'E' inside the circle
+
  
 
|-
 
|-
|4:56
+
|04:56
|Here a sphere is drawn  
+
|Here a sphere is drawn.
  
 
|-
 
|-
|4:59
+
|04:59
|Let's now find the Surface area of the sphere
+
|Let's now find the Surface area of the sphere.
  
 
|-
 
|-
|5:03
+
|05:03
|Click on “Insert text” tool  
+
|Click on '''Insert text''' tool.
  
 
|-
 
|-
|5:05
+
|05:05
|Click on the drawing pad.  
+
|Click on the drawing pad. A text box opens.
A text box opens
+
  
 
|-
 
|-
|5:08
+
|05:08
|Please find the special characters in the drop down list in the text box  
+
|Please find the special characters in the drop down list in the text box. Scroll down to find π (pi).
Scroll down to find π (pi)  
+
  
 
|-
 
|-
|5:17
+
|05:17
|open double quote type
+
|open double quote, type: '''Surface area of the sphere =''' +( 4 π a2)
  
“ Surface area of the sphere =” +( 4 π a2)
+
close double quote '''plus''' open the bracket '''4''' space select '''π''' from the list space
  
close double quote 'plus' open the bracket '4' space
+
'''a''' select 'square' from the list close the bracket.
 
+
select 'π' from the list space
+
 
+
'a' select 'square' from the list
+
 
+
close the bracket  
+
  
 
|-
 
|-
|5:45
+
|05:45
|Click OK
+
|Click '''OK'''
  
 
|-
 
|-
|5:47
+
|05:47
|surface area of the sphere is displayed here
+
|Surface area of the sphere is displayed here.
  
 
|-
 
|-
|5:52
+
|05:52
|let me click on it and drag it place it below  
+
|Let me click on it and drag it, place it below.
  
 
|-
 
|-
|5:56
+
|05:56
|Next let's find Volume
+
|Next, let's find volume.
  
 
|-
 
|-
|5:59
+
|05:59
|Click on the 'Insert Text' tool  
+
|Click on the '''Insert Text''' tool.
  
 
|-
 
|-
|6:00
+
|06:00
|click on the drawing pad
+
|Click on the drawing pad, Text box opens.
Text box opens  
+
  
 
|-
 
|-
|6:03
+
|06:03
|open double quote type
+
|open double quote type: '''Volume of the sphere =''' +(4/3 π a^3)
  
“ Volume of the sphere =” +(4/3 π a^3)
+
close double quote '''plus''' open the bracket '''4/3''' space select '''π''' from the list space '''a'''
  
close double quote 'plus' open the bracket '4/3' space
+
select '''cube''' from the list, close the bracket.
 
+
select 'π' from the list space 'a'
+
 
+
select 'cube' from the list close the bracket  
+
  
 
|-
 
|-
|6:31
+
|06:31
|click OK
+
|Click '''OK'''.
  
 
|-
 
|-
|6:34
+
|06:34
|Volume of the sphere is displayed here
+
|Volume of the sphere is displayed here.
  
 
|-
 
|-
|6:36
+
|06:36
|let me click on it and drag it to place it below  
+
|Let me click on it and drag it to place it below.
  
 
|-
 
|-
|6:40
+
|06:40
|Next let's draw a cone
+
|Next, let's draw a cone.
  
 
|-
 
|-
|6:43
+
|06:43
|Click on “Polygon” tool
+
|Click on '''Polygon''' tool.
  
 
|-
 
|-
|6:45
+
|06:45
|Click on points 'C' , 'D' and an external point 'F'
+
|Click on points '''C''' , '''D''' and an external point '''F''' and '''C''' once again.
and 'C' once again  
+
  
 
|-
 
|-
|6:53
+
|06:53
|Select “Segments between two points” tool
+
|Select '''Segments between two points''' tool join points '''F''' and '''A'''.
join points 'F' and 'A'
+
 
    
 
    
 
|-
 
|-
|6:59
+
|06:59
 
|We get height of the cone.  
 
|We get height of the cone.  
 
  
 
|-
 
|-
|7:03
+
|07:03
|Let me rename the object 'b' as 'h' which denotes height of the cone
+
|Let me rename the object '''b''' as '''h''' which denotes height of the cone.
  
 
|-
 
|-
|7:08
+
|07:08
|Right click on object 'b'
+
|Right click on object '''b'''.Click on '''Rename'''.
  
 
|-
 
|-
|7:09
+
|07:11
|Click on “Rename”
+
|Replace '''b''' with '''h''', click '''OK'''.
  
 
|-
 
|-
|7:11
+
|07:15
|Replace 'b' with 'h' click OK
+
|Let me also rename the object '''c_1''' as '''s''' which denotes slant height of cone.
  
 
|-
 
|-
|7:15
+
|07:21
|Let me also
+
|Right click on object '''c_1'''.
Rename the object 'c_1' as 's' which denotes slant height of cone.
+
  
 
|-
 
|-
|7:21
+
|07:23
|Right click on object 'c_1'
+
|Click on '''Rename'''.Replace '''c_1''' with '''s'''.
  
 
|-
 
|-
|7:23
+
|07:26
|click on “Rename”
+
|Click '''OK'''.
  
 
|-
 
|-
|7:24
+
|07:28
|Replace 'c_1' with 's'
+
|Let's find now surface area and volume of the cone.
  
 
|-
 
|-
|7:26
+
|07:33
|Click OK
+
|We can use either the '''Insert text''' tool from the tool bar or we can use the '''Input''' bar. I will use the '''Input bar'''.
  
 
|-
 
|-
|7:28
+
|07:40
|Let's find now surface area and volume of the cone,
+
|Please find the special characters in the drop down list of the '''Input bar'''.
  
 
|-
 
|-
|7:33
+
|07:44
|We can use either the Insert text tool from the tool bar or we can use the input bar.
+
|Scroll down to find '''π'''.  
I will use the “Input bar”
+
  
 
|-
 
|-
|7:40
+
|07:48
|Please find the special characters in the drop down list of the “Input bar”
+
|Type in the input bar: Area = (π a s + π a²)
  
|-
+
Surfacearea = open the bracket Select 'π' from the list space '''a''' space '''s''' plus select '''π''' from the list space '''a'''
|7:44
+
|Scroll down to find “π”
+
  
|-
+
Select '''square''' from list close the bracket press '''Enter'''.
|7:48
+
|Type in the input bar
+
+
Area = (π a s + π a²)
+
 
+
Surfacearea = open the bracket
+
 
+
Select 'π' from the list space 'a' space 's'
+
 
+
plus select 'π' from the list space 'a'
+
 
+
Select 'square' from list close the bracket
+
 
+
press enter
+
  
 
|-
 
|-
|8:15
+
|08:15
|Surface Area of the cone is displayed in the Algebra view
+
|Surface Area of the cone is displayed in the Algebra view.
  
 
|-
 
|-
|8:20
+
|08:20
|Please note when we use the Input bar
+
|Please note when we use the '''Input bar''' answer appears in the Algebra view.
answer appears in the Algebra view  
+
  
 
|-
 
|-
|8:26
+
|08:26
|Let's find Volume  
+
|Let's find Volume.
  
 
|-
 
|-
|8:29
+
|08:29
|Volume =(1/3 π a² h)  
+
|Volume =(1/3 π a² h). Volume =open bracket '''1/3''' space select 'π' from the list space '''a'''
 
+
Volume =open bracket
+
 
+
'1/3' space select 'π' from the list space 'a'
+
 
+
Select 'square' from list space 'h' close the bracket
+
  
Press enter
+
Select '''square''' from list space '''h''' close the bracket Press '''Enter'''.
  
 
|-
 
|-
|8:50
+
|08:50
|Volume of the cone is displayed here in the Algebra view  
+
|Volume of the cone is displayed here in the Algebra view.
  
 
|-
 
|-
|8:55
+
|08:55
|Lets now save the file. Click on file "Save As".
+
|Lets now save the file. Click on '''File''', '''Save As'''. I will type the file name as '''Sphere-cone'''.
I will type the file name as "Sphere-cone"
+
  
 
|-
 
|-
|9:08
+
|09:08
|Click on “Save”.
+
|Click on '''Save'''.
  
 
|-
 
|-
|9:10
+
|09:10
|with this we come to the end of this tutorial  
+
|With this, we come to the end of this tutorial.
  
 
|-
 
|-
|9:14
+
|09:14
|Let us summarize
+
|Let us summarize.
  
 
|-
 
|-
|9:18
+
|09:18
|In this tutorial we have learnt to find
+
|In this tutorial we have learnt to find:
  
 
|-
 
|-
|9:20
+
|09:20
 
|Area and perimeter of rhombus  
 
|Area and perimeter of rhombus  
  
 
|-
 
|-
|9:24
+
|09:24
|Surface Area of sphere and cone  
+
| Surface Area of sphere and cone  
  
 
|-
 
|-
|9:27
+
|09:27
|Volume of sphere and cone  
+
|Volume of sphere and cone.
  
 
|-
 
|-
|9:30
+
|09:30
|We have also learnt to draw sphere and cone  
+
|We have also learnt to draw sphere and cone.
  
 
|-
 
|-
|9:36
+
|09:36
|As an assignment I would like you to find Surface area and volume of cylinder
+
|As an assignment, I would like you to find Surface area and volume of cylinder.
  
 
|-
 
|-
|9:43
+
|09:43
|Draw 2 ellipses of same sized one below the other
+
|Draw 2 ellipses of same size, one below the other.
  
 
|-
 
|-
|9:47
+
|09:47
|Connect edges of ellipses
+
|Connect edges of ellipses.
  
 
|-
 
|-
|9:50
+
|09:50
|Use “center” tool, find center of one ellipse
+
|Use '''Center tool''', find center of one ellipse.
  
 
|-
 
|-
|9:54
+
|09:54
 
|Join center and edge.
 
|Join center and edge.
  
 
|-
 
|-
|9:56
+
|09:56
|Rename object 'b' as 'h' and 'e' as 'r'
+
|Rename object '''b''' as '''h''' and '''e''' as '''r'''.
  
 
|-
 
|-
Line 544: Line 475:
 
|-
 
|-
 
|10:07
 
|10:07
|Volume = π r^2h
+
|Volume = π r^2 h
  
 
|-
 
|-
Line 552: Line 483:
 
|-
 
|-
 
|10:19
 
|10:19
|Watch the video available at this URL
+
|Watch the video available at this URL.
  
 
|-
 
|-
 
|10:23
 
|10:23
|It summarises the Spoken Tutorial project
+
|It summarizes the Spoken Tutorial project.
  
 
|-
 
|-
 
|10:26
 
|10:26
|If you do not have good bandwidth, you can download and watch it  
+
|If you do not have good bandwidth, you can download and watch it.
  
 
|-
 
|-
Line 568: Line 499:
 
|-
 
|-
 
|10:33
 
|10:33
|Conducts workshops using spoken tutorials
+
|Conducts workshops using spoken tutorials.
  
 
|-
 
|-
 
|10:36
 
|10:36
|Gives certificates to those who pass an online test
+
|Gives certificates to those who pass an online test.
  
 
|-
 
|-
 
|10:40
 
|10:40
|For more details, please write to
+
|For more details, please write to contact@spoken-tutorial.org  
contact@spoken-tutorial.org  
+
  
 
|-
 
|-
 
|10:48
 
|10:48
|Spoken Tutorial Project is a part of the Talk to a Teacher project
+
|Spoken Tutorial Project is a part of the Talk to a Teacher project.
  
 
|-
 
|-
 
|10:52
 
|10:52
|It is supported by the National Mission on Education through ICT, MHRD, Government of India
+
|It is supported by the National Mission on Education through ICT, MHRD, Government of India.
  
 
|-
 
|-
 
|10:59
 
|10:59
|More information on this Mission is available at this link.
+
|More information on this mission is available at this link.
  
 
|-
 
|-
 
|11:06
 
|11:06
|This is Madhuri Ganapathi from IIT Bombay signing off.
+
|This is Madhuri Ganapathi from IIT Bombay, signing off.Thanks for joining
 
+
Thanks for joining
+

Latest revision as of 15:51, 27 March 2017

Time Narration
00:00 Hello everybody Welcome to this tutorial on Mensuration in Geogebra.
00:06 In this tutorial, we will learn to find:
00:09 Area and perimeter of rhombus
00:12 Surface area of sphere and cone
00:15 Volume of sphere and cone.
00:20 We assume that you have the basic working knowledge of Geogebra.
00:24 For relevant tutorials on Geogebra,
00:27 please visit our website.
00:31 To record this tutorial, I am using:
00:33 Ubuntu Linux OS Version 11.10
00:38 Geogebra Version 3.2.47.0
00:42 We will use the following Geogebra tools:
00:46 Segment between two points
00:48 Circle with center and radius
00:51 Ellipse Polygon
00:54 New point and
00:56 Insert text Let's open a new Geogebra window.
01:00 Click on Dash home and Media Apps. Under Type, choose Education and Geogebra
01:13 Let's find the area of a rhombus.
01:15 Let's use the file quadrilateral.ggb of the previous tutorial.
01:20 Click on File, Open, click on quadrilateral.ggb.
01:27 Click on Open.
01:29 Area of the Rhombus =1/2 * product of diagonals.
01:34 To demonstrate it:
01:36 Click on the Insert Text tool.
01:39 Click on the drawing pad. A text box opens.
01:44 Area of the rhombus =+(1/2 g f)

Open the double quotes(“), type: Area of the rhombus = close the double quotes +

for concatenation open the brackets, type: 1/2 space f space g

close the bracket f and g are the diagonals of the rhombus.

02:09 Click OK.
02:11 Area of rhombus is displayed here on the drawing pad.
02:14 Next, let's find perimeter.
02:17 Click on the Insert text tool.
02:19 Click on the drawing pad. A text box opens.
02:22 Open the double quotes(“) type: Perimeter of the rhombus =+(4 a) close double quotes '+' open the brackets

4 space 'a' close the brackets a is the side of the rhombus.

02:44 Click OK.
02:46 Perimeter of rhombus is displayed here on the drawing pad.
02:50 Let's now save the file.
02:53 Click on File and Save As.
02:55 I will type the filename as rhombus-area-perimeter
03:12 Click on Save.
03:17 As an assignment, I would like you to find area and perimeter of a trapezium,
03:22 use output of file cons-trapezium.ggb.
03:27 Rename object g as b.
03:30 Formula for area = (half sum of parallel sides) * (vertical height) = (a+b)/2* h
03:40 Formula for perimeter =(sum of the sides) =(a+b+c+d)
03:49 The output of the assignment should look like this.
03:54 Let's open a new Geogebra window to draw a sphere.
03:58 Click on File , New
04:01 Click on the Circle with Center and Radius tool, from the toolbar.
04:06 Click on the drawing pad point A. A text box opens.
04:11 Enter value 2 for radius.
04:13 Click OK.
04:15 A circle with center A and radius 2cm is drawn.
04:19 Select New point tool from tool bar, mark a point B on the circumference of the circle.
04:26 Select Segment between two points tool.
04:29 Join points A and B as radius of the circle.
04:34 Let's draw an ellipse CDE in the horizontal direction, to touch the circumference of the circle.
04:42 Click on Ellipse tool.
04:45 Mark points C and D diagonally opposite to each other on the circumference and a third point E inside the circle.
04:56 Here a sphere is drawn.
04:59 Let's now find the Surface area of the sphere.
05:03 Click on Insert text tool.
05:05 Click on the drawing pad. A text box opens.
05:08 Please find the special characters in the drop down list in the text box. Scroll down to find π (pi).
05:17 open double quote, type: Surface area of the sphere = +( 4 π a2)

close double quote plus open the bracket 4 space select π from the list space

a select 'square' from the list close the bracket.

05:45 Click OK
05:47 Surface area of the sphere is displayed here.
05:52 Let me click on it and drag it, place it below.
05:56 Next, let's find volume.
05:59 Click on the Insert Text tool.
06:00 Click on the drawing pad, Text box opens.
06:03 open double quote type: Volume of the sphere = +(4/3 π a^3)

close double quote plus open the bracket 4/3 space select π from the list space a

select cube from the list, close the bracket.

06:31 Click OK.
06:34 Volume of the sphere is displayed here.
06:36 Let me click on it and drag it to place it below.
06:40 Next, let's draw a cone.
06:43 Click on Polygon tool.
06:45 Click on points C , D and an external point F and C once again.
06:53 Select Segments between two points tool join points F and A.
06:59 We get height of the cone.
07:03 Let me rename the object b as h which denotes height of the cone.
07:08 Right click on object b.Click on Rename.
07:11 Replace b with h, click OK.
07:15 Let me also rename the object c_1 as s which denotes slant height of cone.
07:21 Right click on object c_1.
07:23 Click on Rename.Replace c_1 with s.
07:26 Click OK.
07:28 Let's find now surface area and volume of the cone.
07:33 We can use either the Insert text tool from the tool bar or we can use the Input bar. I will use the Input bar.
07:40 Please find the special characters in the drop down list of the Input bar.
07:44 Scroll down to find π.
07:48 Type in the input bar: Area = (π a s + π a²)

Surfacearea = open the bracket Select 'π' from the list space a space s plus select π from the list space a

Select square from list close the bracket press Enter.

08:15 Surface Area of the cone is displayed in the Algebra view.
08:20 Please note when we use the Input bar answer appears in the Algebra view.
08:26 Let's find Volume.
08:29 Volume =(1/3 π a² h). Volume =open bracket 1/3 space select 'π' from the list space a

Select square from list space h close the bracket Press Enter.

08:50 Volume of the cone is displayed here in the Algebra view.
08:55 Lets now save the file. Click on File, Save As. I will type the file name as Sphere-cone.
09:08 Click on Save.
09:10 With this, we come to the end of this tutorial.
09:14 Let us summarize.
09:18 In this tutorial we have learnt to find:
09:20 Area and perimeter of rhombus
09:24 Surface Area of sphere and cone
09:27 Volume of sphere and cone.
09:30 We have also learnt to draw sphere and cone.
09:36 As an assignment, I would like you to find Surface area and volume of cylinder.
09:43 Draw 2 ellipses of same size, one below the other.
09:47 Connect edges of ellipses.
09:50 Use Center tool, find center of one ellipse.
09:54 Join center and edge.
09:56 Rename object b as h and e as r.
10:01 Surface area = 2 π r(r + h)
10:07 Volume = π r^2 h
10:13 The output of the assignment should look like this.
10:19 Watch the video available at this URL.
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11:06 This is Madhuri Ganapathi from IIT Bombay, signing off.Thanks for joining

Contributors and Content Editors

Madhurig, Minal, PoojaMoolya, Pratik kamble, Sandhya.np14