5 tusaale oo ah barokac xagal ah iyo barokac toosan oo dhaqdhaqaaq wareeg ah
1. Giraangiraha leh gacan 30 cm ah wuxuu wareegaa masaafada 10 radian. Immisa ayay barta ku taal geeska giraangiraha u socotaa?
Dood
Masaafada u dhaxaysa cidhifka giraangiraha iyo bartamaha giraangiraha = gacanka giraangiraha.
Waa la ogyahay in:
Gacanka (r) = 30 cm = 0,3 mitir
Geeska (eedo) = 10 oo radian ah
La weydiiyay: masaafada la safray(yada)
Jawaab:
Qaacidada xiriirka ka dhexeeya masaafada iyo xagasha safarka:
s = r eedo
s = (0,3 mitir)(10 gacan)
s = 3 mitir
Masaafada ay ku socoto barta ku taal geeska giraangiraha waa 3 mitir.
2. Giraangiraha leh gacan 50 cm ah wuxuu ku wareegaa 360 darajo.oImmisa ayay barta ku taal geeska giraangiraha u socotaa?
Dood
Waa la ogyahay in:
Gacanka (r) = 50 cm = 0,5 mitir
Geeska (eedo= 360o = 6,28 radian
La weydiiyay: masaafada la safray (yada)?
Jawaab:
s = r eedo
s = (0,5 mitir)(6,28 gacan)
s = 3,14 mitir
Masaafada ay ku socoto barta ku taal geeska giraangiraha waa 3 mitir.
3. Taayir leh gacan 50 cm ah ayaa sameeya 2 wareeg. Intee in le'eg ayay barta ku taal geeska taayirku u socotaa?
Dood
Waa la ogyahay in:
Gacanka = 50 cm = 0,5 mitir
Geeska (eedo) = 2 wareeg = (2)(6,28 gacan) = 12,56 gacan
La weydiiyay: masaafada la safray (yada)?
Jawaab:
s = r eedo
s = (0,5 mitir)(12,56 gacan)
s = 6,28 mitir
Masaafada ay ku socoto barta ku taal geeska giraangiraha waa 3 mitir.
4. Bar ku taal geeska bareelaha dhexroorkiisu yahay 2 mitir wuxuu u socdaa masaafad dhan 100 mitir. Go'aami xagasha safarka bareelaha. Ku muuji bareelaha, darajooyin, iyo wareegyo.
Dood
Waa la ogyahay in:
Gacanka (r) = ½ (dhexroor) = ½ (2 mitir) = 1 mitir
Masaafada la safray = 100 mitir
Jawaab:
(a) Xagasha safarka (oo ku jirta raadiyaanka)
eedo = s / r = 100 / 1 = 100 radiyaan
(b) Xagasha safarka (digriido)
1 gacan = 360o
100 raadiyaanka = 100(360)o) = 36.000 oo radian ah
(c) Xagasha safarka (kacaannada)
6,28 raadiyaanka = 1 kacaan
36.000 / 6,28 = 5732,484 wareeg
5. Walax ayaa goobo ku wareegaysa 10 mitir waxayna ku socotaa xagal 180 ahoWaa maxay gacanka waddada wareegsan ee walxaha?
Dood
Waa la ogyahay in:
Masaafada la safray = 10 mitir
Geeska (eedo= 180o = 3,14 radian
Waxaa la weydiiyay: gacan (r)?
Jawaab:
r = s / eedo = 10 / 3,14 = 3,18 mitir
Catatan:
Marka aad xallinayso dhibaatada, haddii xagasha loo yaqaan wareegyada ama darajooyin ahaan, marka hore u beddel raadiyaan.