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lMb c~krI SMkU. ivSw : gixq. klws : 8 vIN. iqAwr krqw sRI. srjMq isMG AiDAwpk - gixq srkwrI hweI skUl gVWgW KrV Aqy AmYirkn ieMfIAw PwaUNfySn trst. AwE lMb c~krI SMkU bwry jwxIey. rojwnw jIvn iv~c vrqy jwx vwly lMb c~krwkwr SMkU. rof ifvweIfr. topI. AweIskRIm kon.
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lMbc~krISMkU ivSw: gixq klws: 8vIN
iqAwr krqw sRI. srjMq isMG AiDAwpk - gixq srkwrI hweI skUl gVWgW KrV Aqy AmYirkn ieMfIAw PwaUNfySn trst
AwE lMbc~krISMkU bwry jwxIey
rojwnwjIvniv~cvrqyjwxvwlylMbc~krwkwrSMkU rof ifvweIfr topI AweIskRIm kon
iehnWSMkUAwkwrvsqUAWdwAwDwrc~krwkwrhYAqyauprlwjWhyTlwnOkIlwisrwkyvlie~kibMdUhY[iehnWSMkUAwkwrvsqUAWdwAwDwrc~krwkwrhYAqyauprlwjWhyTlwnOkIlwisrwkyvlie~kibMdUhY[ O isKr SMkUdwisKrOhY[ OA SMkUdIiqrCIau~cweI (l) OC SMkUdIlMbau~cweI (h) BCSMkUdwArDivAws (r) l h A r B C not: SMkUdIlMbaucweIAqyiqrCIaucweIiv~cPrksmJo[
SMkU dI sqHw dw KyqrPl ie~kr, ArDivAwskyNdrOvwlyc~krwkwrkwgjdytukVyivcoNjyie~kArDivAwdIKMfOABbxweIeyAqyiesnUMk~tkyisirAWOAAqyOBnUMtypnwljoVid~qwjwvyqWSMkUdwAkwrbxjwvygwijvyNic~qriv~cidKwieAwigAwhY[ c~krdwArDivAws (r) SMkUdIiqrCIaucweI (l) bxjwvygwAqyc~krdwkyNdr (O) SMkUdwisKrbxjwvygw[ SurU A h O r l B AMq 2 πr O isKr l h A,C r
SMkU dI sqHw dw KyqrPl ikauNikSMkU, ArDivAwsIKMfqoNbixAwhY[ iesleI = iesdwsUqrπrlhuMdwhY[ O SMkUdIpwsvINsqwHdwKyqrPl ArDivAwsIKMfdwKyqrPl l h A r
lMbc~krISMkUdIiqrCIau~cweI, lMbau~cweIAqyArDivAwsiv~csMbMD SMkUdIlMbau~cweI SMkUdIiqrCIau~cweI A A krx (l) l lMb (h) h r B O B O AwDwr (r)
lMbc~krISMkUdIiqrCIau~cweI, lMbau~cweIAqyArDivAwsiv~csMbMD pwieQwgorsisDWqAnuswrsmkoxIiqRBukiv~c: (krx)2 = (ADwr)2 + (lMb)2 (l )2 = (r)2 + (h)2 smkoxIiqRBujivc AB2 = OB2 + OA2 l 2 = r2 + h2 SMkUdIiqrCIau~cweI
id~qyhoeyic~qrdwGxPl ic~qriv~clMbc~krIvyln, ijsdyAwDwrdwArD-ivAwsr Aqyh hY, dyau~prSMkUaultwr~iKAwigAwhY, SMkUdyAwDwrdwArD-ivAwsr Aqyau~cweI h1 hY[ h1 r r h h lMbc~krIvylndwGxPl = πr2h lMbc~krISMkUdwGxPl = pUryic~qrdwGxPl = lMbc~krIvylndwGxPl + lMbc~krISMkUdwGxPl
SMkUdwAwieqn (GxPl) O O O r r r r h h h h O r ie~kvylx (ArDivAwsr AqyaucweIh) AqyiqMnSMkUlEijhnWdwArDivAwsAqyaucweIvylxdyArDivAwsAqyaucweIdybrwbrhovy[ iqMnWSMkUAWiv~cpwxI Br lE[ iqMnWSMkUAWdwpwxIislMfriv~caultwidE[ islMfrpUrw Br jwvygw[
SMkUdwAwieqn (GxPl) r h r vylxdwAwieqn = 3 x ie~kSMkUdwAwieqn SMkUdwAwieqn = x vylxdwAwieqn SMkUdwAwieqn =
SMkUdIrcnw kwgj dI SIt lE
SMkUdIrcnw ies iv`coN ie`k c`kr nMU k`t lE
SMkUdIrcnw l c~kr dw ArDivAwsI inSwn bxwE
SMkUdIrcnw l l B A ArDivAwsI KMf bxwE
SMkUdIrcnw O ies ArD ivAwsI KMf nMU k`t lE
SMkUdIrcnw l l B A c~kr dw k~itAw hoieAw ArDivAwsI KMf
O l l B,A ArDivAwsI KMf sy isirAW NnUM Awps iv~c joVn qy SMkU dw Awkwr bx igAw SMkUdIrcnw l l B A kyNdr ‘O’ vwlyc~krdwArDivAws = SMkUdIiqrCIaucweIbxgeI kyNdr ‘O’ vwlyc~krdwkyNdr = SMkUdwisKrbxigAw
SMkUdIrcnw O l r SMkUdyAwDwrdwpirmwp = SMkUdyAwDwrdwKyqrPl = SMkUdItyFIsqHwdwKyqrPl = l ies SMkU dw AwDwr ‘r’ ArD ivAws vwlw c~kr hY[
AiBAws L M r O N KwlI QW Bro: LO 1. auprokq ic~qr iv~c________ SMkU dI lMb au~cweI hY[ LM 2. auprokq SMkU iv~c_________ SMkU dI iqrCI au~cweI hY[ L 3. auprokq SMkU dw iSKr ______ hYY[ 4. SMkU dI tyFI sqHw dw KyqrPl = __________
AiBAws h 15 sY.mI. 7 sY.mI. • jy iksy SMkU dw ArDivAws 7 sY. mI. hovy Aqy lMb au~cweI 15 sY. mI. hovy qW • GxPl = ______________
AiBAws 2. sMkU Akwr dy qMbU dy ADwr dw ArD ivAws 14 sYNN mI. qy iqrCI aucweI 10 sYN. mIN hY, iesdI tyFI sqHw dw KyqrPl pqw krx leI ikhVw suqr l~gygw? r = ______________ l = ______________ tyFI sqHw dw KyqrPl = _______________ Aglw pRSn
ibblIEgRwPI 1. PlYS kwrf 2. pwT pusqk 3. ieMtrnYt: www.animationfactory.com