Geogebra/C3/Mensuration/Khasi

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Time Narration
00:00 Khublei iaphi baroh. Ngi pdiang sngewbha iaphi sha kane ka tutorial/jinghikai halor ka Mensuration in Geogebra.
00:06 Ha kane ka tutorial/jinghikai , ngin pule kumno ban wad ia ka:
00:09 Area bad perimeter jong ka rhombus
00:12 Surface area jong ka sphere bad cone
00:15 Volume jong ka sphere bad cone.
00:20 Ngi tharai ba phi lah don ia ka jingtip kumno ka Geogebra ka treikam.
00:24 Na bynta ka tutorial/jinghikai ba iadei ha ka Geogebra,
00:27 sngewbha leit ha ka website ka jong ngi.
00:31 Ban record ia kane ka tutorial/jinghikai , Nga pyndonkam da ka:
00:33 Ubuntu Linux OS Version 11.10
00:38 Geogebra Version 3.2.47.0
00:42 Ngin pyndonkam da ki Geogebra tools kiba harum:
00:46 Segment between two points
00:48 Circle with center and radius
00:51 Ellipse
00:52 Polygon
00:54 New point bad
00:56 Insert text
00:57 To ngin plie/open ia ka Geogebra window kaba thymmai.
01:00 Click ha Dash home bad Media Apps. Hapoh Type, jied Education bad Geogebra
01:13 To ngin wad ia ka area jong ka rhombus.
01:15 To ngin pyndonkam da ka file quadrilateral.ggb jong ka tutorial/jinghikai kaba la dep.
01:20 Click ha File, Open, Click ha quadrilateral.ggb.
01:27 Click ha Open.
01:29 Ka Area jong ka Rhombus =1/2 * product of diagonals. [is equal to half the product of diag]
01:34 Ban pyni ia ka:
01:36 Click ha ka Insert Text tool.
01:39 Click ha u drawing pad.

Ka text box ka open/plie.

01:44 Area of the rhombus =+(1/2 g f)

Open/Plie ia ki double quotes(“), type:

Area of the rhombus = khang ia ki double quotes

+ na bynta ban pyniasoh . open/plie ia ki brackets, type:

1by/2 space f space g

Close/khang ia ki bracket

f bad g ki dei ki diagonals jong ka rhombus.

02:09 Click OK.
02:11 Ka Area jong ka rhombus la pyni hangne ha u drawing pad.
02:14 Kaba bud, to ngin wad ia ka perimeter.
02:17 Click ha ka Insert text tool.
02:19 Click ha u drawing pad. Ka text box ka open/plie.
02:22 Open/Plie ia ki the double quotes(“) type:

Perimeter of the rhombus =+(4 a)

Close/khang ia ki double quotes '+' open/plie ia ki brackets

4 space 'a' close/khang ia ki brackets

a u dei u side jong ka rhombus.

02:44 Click OK.
02:46 Ka Perimeter jong ka rhombus la pyni hangne ha u drawing pad.
02:50 To mynta ngin save ia ka file.
02:53 Click ha ka File bad Save As.
02:55 Ngan type ia ka filename kum ka rhombus-area-perimeter
03:12 click ha Save.
03:17 Kum ka assignment, Nga kwah ia phi ban wad ia ka area bad perimeter jong ka trapezium,
03:22 pyndonkam da ka output jong ka file cons-trapezium.ggb.
03:27 Rename ia ka object g sha u b.
03:30 Ka Formula na bynta ka area = (half sum of parallel sides) * (vertical height) = (a+b)/2* h
03:40 Ka Formula na bynta ka perimeter =(sum of the sides) =(a+b+c+d)
03:49 Ka output jong ka assignment ka dei ban long kumne.
03:54 To ngin plie ia ka Geogebra window kaba thymmai ban draw/dro ia ka sphere.
03:58 Click ha File , New
04:01 Click ha ka Circle with Center and Radius tool, na u toolbar.
04:06 Click ha u drawing pad point A.

Ka text box kaplie.

04:11 Thoh ia u value 2 na bynta ka radius.
04:13 Click OK.
04:15 Ka circle bad ka center A bad radius 2cm la draw/dro.
04:19 Jied New point tool na u tool bar, mark ia u point B ha ka circumference jong ka circle.
04:26 Jied Segment between two points tool.
04:29 Pyniasoh ia ki points A bad B kum ka radius jong ka circle.
04:34 to ngin draw/dro ia ka ellipse CDE hapoh ka horizontal direction,

Ban ktah ia ka circumference jong ka circle.

04:42 Click ha Ellipse tool.
04:45 Mark ia ki points C bad D diagonally/ba pom pynkiang mar pyrto uwei ia uwei ha ka circumference

Bad u point ba lai u E hapoh ka circle.

04:56 Hangne ia ka sphere la draw/dro.
04:59 to mynta ngin wad ia ka Surface area jong ka sphere.
05:03 Click ha Insert text tool.
05:05 Click ha u drawing pad. Ka text box ka open/plie.
05:08 Sngewbha wad ia u special characters hapoh ka drop down list hapoh ka text box.

Scroll sharum ban wad ia u π (pi).

05:17 open/plie ia ki double quote, type:

Surface area of the sphere = +( 4 π a2)

Close/khang ia ki double quote plus plie ia ki bracket 4 space

jied π na ka list space

a jied 'square' na ka list

Close/khang ia ki the bracket.

05:45 Click OK
05:47 Ka Surface area jong ka sphere la pyni hangne.
05:52 to ngan Click ha ka bad drag ia ka, ban buh ia ka harum.
05:56 Ha kaba bud, to ngan wad ia ka volume.
05:59 Click ha ka Insert Text tool.
06:00 Click ha u drawing pad, ka Text box ka open/plie.
06:03 open/plie ia ki double quote type:

Volume of the sphere = +(4/3 π a^3)

close /khang ia ki double quote plus open/plie ia ki the bracket 4/3 space

jied π na ka list space a

jied cube na ka list, close/khang ia ki bracket.

06:31 Click OK.
06:34 Ka Volume jong ka sphere ka pyni hangne.
06:36 to ngan Click ha ka bad drag ia ka ban buh ia ka harum.
06:40 Kaba bud, to ngin draw/dro ia ka cone.
06:43 Click ha ka Polygon tool.
06:45 Click ha ki points C , D bad ka external point F

bad C sa shisien.

06:53 Jied Segments between two points tool

Pyniasoh ia ki points F bad A.

06:59 Ngi ioh ia ka height jong ka cone.
07:03 to ngan rename ia u object bsha u h kaba pyni ia ka height jong ka cone.
07:08 Right Click ha u object b.
07:09 Click ha Rename.
07:11 Bujli ia u b da u h, Click OK.
07:15 tongan rename ruh ia u object c_1 sha u s kaba pyni ia ka slant height jong ka cone.
07:21 Right Click ha u object c_1.
07:23 Click ha Rename.
07:24 Bujli ia u c_1 da u s.
07:26 Click OK.
07:28 to mynta ngin wad ia ka surface area bad volume jong ka cone.
07:33 Ngi lah ban pyndonkam da ka Insert text tool na u tool bar lane ngi lah ban pyndonkam da u Input bar.

Ngan pyndonkam da u Input bar.

07:40 Sngewbha wad ia u special characters ha u drop down list jong u Input bar.
07:44 Scroll down ban wad ia u π.
07:48 Type hapoh u input bar:

Area = (π a s + π a²)

Surfacearea = open/plie ia ki bracket

Jied 'π' na ka list space a space s

plus jied π na ka list space a

Jied square na ka list close/khang ia ki bracket

shon Enter.

08:15 Ka Surface Area jong ka cone ka pyni hapoh ka Algebra view.
08:20 Sngewbha kynmaw haba ngi pyndonkam da u Input bar

Ka answer/jubab ka paw hapoh ka Algebra view.

08:26 to ngin wad ia ka Volume.
08:29 Volume =(1/3 π a² h)

Volume =open/plie ia ki bracket

1/3 space jied 'π' na ka list space a

Jied square na ka list space h close/khang ia ki the bracket

Nion Enter.

08:50 Ka Volume jong ka cone ka paw hangne hapoh ka Algebra view.
08:55 to mynta ngin save ia ka file. Click ha File, Save As.

Ngan type ia ka file name kum Sphere-cone.

09:08 Click ha Save.
09:10 Da kane ngi poi sha kaba kut jong kane ka jinghikai.
09:14 to ngin batai lyngkot.
09:18 Hapoh kane ka tutorial/jinghikai ngi lah dep pule ban wad ia ka:
09:20 Area bad perimeter jong ka rhombus
09:24 Surface Area jong ka sphere bad cone
09:27 Volume jong ka sphere bad cone.
09:30 Ngi lah dep pule ruh ban draw/dro ia ka sphere bad cone.
09:36 Kum ka assignment, Nga kwah iaphi ban phin wad ia ka Surface area bad volume jong ka cylinder.
09:43 Draw/dro 2tylli ki ellipses kaba ia kajuh ka size,kawei hapoh kawei .
09:47 Pyniasoh ia ki edges jong ka ellipses.
09:50 Pyndonkam da ka Center tool, wad ia ka center jong kawei ka ellipse.
09:54 Pyniasnoh ia ka center bad edge.
09:56 Rename ia u object b sha u h bad e sha u r.
10:01 Surface area = 2 π r(r + h) 2pie r into r plus h
10:07 Volume = π r^2 h
10:13 Ka output jong ka assignment ka dei ban long kumne.
10:19 Peit ia ka video kaba lah ban ioh na kane ka URL.
10:23 Ka batai lyngkot ia ka Spoken Tutorial project.
10:26 Lada phim don ia ka bandwidth kaba biang , phi lah ban download bad peit ia ka.
10:31 Ka Spoken Tutorial Project Team :
10:33 ka pynlong ia ki workshops da kaba pyndonkam da ki spoken tutorials.
10:36 Ka ai certificates sha kito kiba pass ha ka an online test.
10:40 Ia ka jingtip ba kham bniah , sngewbha ban thoh sha ka

contact@spoken-tutorial.org

10:48 Ka Spoken Tutorial Project ka dei shi bynta jong ka Talk to a teacher project.
10:52 La kyrshan ia ka da ka National Mission on Education lyngba ka ICT, MHRD, Government jong ka India.
10:59 Ia ka jingtip ba kham bniah halorkane ka mission lah ban ioh na kane ka link.
11:06 La pynkylla ia kane ka script da I Ribajanai Wankhar bad nga dei u Thawlad Miki, signing off.

Khublei ba phi lah iasoh

Contributors and Content Editors

Thaw