Beddelidda cutubyada xagasha (heerka, radian, kacaanka)
1. ¼ dib u eegis = ….. o ( darajada )?
Solution
1 kacaan = 360 o
½ dib u eegis = 180 o
¼ dib u eegis = 90 o
2. ½ dib u eegis = …….. r xayeysiis?
Solution
1 rev = 2 π rad = 2 (3.14) rad = 6.28 rad
½ rev = pi rad = 3.14 rad
3. 180 o = ….. dib u eegis?
Solution
360 o = 1 kacaan
180 o = ½ dib
[irp]
4. 90 o = ….. rad?
Solution
360 o = 2 π rad = 2 (3.14) rad = 6.28 ra d
180 o = π rad = 3.14 rad
90 o = ½ π rad = ½ (3.14) = 1.57
5. 60 rad = ….. dib u eegis?
Solution
6.28 rad = 1 dib u habayn
60 rad/6.28 = 9.55 dib u habayn
6. 40 rad= ….. o?
Solution
6.28 rad = 360 o
40 rad/6.28 = (6.37) (360 o ) = 2292.99 o
[irp]
Barakaca xagasha iyo barokaca toosan
1. Taayir baaskiil oo dhexroorkiisu yahay 60 cm ayaa wareegaya 10 radian. Waa maxay kala-guurka toosan ee barta ku taal geeska taayiradda?
La yaqaan:
Gacanka (r) = 30 cm = 0.3 m
Xagasha (θ ) = 10 gacan
La Raadinayo: barokac toosan (l)
Xalka:
l = r θ
l = (0.3 m)(10 rad)
l = 3 mitir
2. Taayir 50 cm ah oo gacan ah ayaa wareegta 360 o . Waa maxay kala-guurka toosan ee barta ku taal geeska giraangiraha?
La yaqaan:
Gacanka (r) = 50 cm = 0.5 mitir
Xagasha ( θ ) = 360 o = 6.28 radiyaan
La Raadinayo: barokac toosan (l)
Xalka:
l = r θ
l = (0.5 m)(6.28 rad)
l = 3.14 mitir
[irp]
3. Taayir 50 cm ah oo gacan ah ayaa wareegaya 2 wareeg. Waa maxay kala-guurka toosan ee barta ku taal geeska giraangiraha?
La yaqaan:
Gacanka (r) = 50 cm = 0,5 m
Xagasha ( θ ) = 2 wareeg = (2)(6.28 gacan) = 12.56 gacan
La rabay: barokac toosan (l)?
Xalka:
l = r θ
l = (0.5 m)(12.56 rad)
l = 6.28 m
4. Bar ku taal cidhifka giraangiraha 2 mitir oo gacan ah, waxay u socotaa 100 mitir. Go'aami meesha ay ka soo baxayso xagasha.
La yaqaan:
Gacanka (r) = ½ (dhexroor) = ½ (2 mitir) = 1 mitir
Barakaca toosan (l) = 100 mitir
Xalka:
(a) Barakaca xagasha (ee raadiyaanka)
θ = s / r = 100 / 1 = 100 radiyaan
(b) Barakaca xagasha (heerar)
1 raadiyaan = 360 o
100 raadiyaanka = 100(360 o ) = 36,000 raadiyaanka
(c) Barakac xagal ah (kacaankii)
6.28 raadiyaanka = 1 kacaan
36,000 / 6.28 = 5732,484 kacaan
[irp]
5. Walax ayaa wareeg ku wareegsan 10 mitir waxayna wareegtaa 180 o . Waa maxay gacanka?
La yaqaan:
Barakaca toosan (l) = 10 mitir
Xagasha ( θ ) = 180 o = 3.14 radiyaan
La doonayo: gacan (r)
Xalka:
r = l / θ = 10 / 3.14 = 3.18 mitir
[irp]
- Cutubyada xaglaha ee beddelka dhibaatooyinka muunada leh ee xalalka
- Dhibaatooyinka muunadda iyo xalalka barakaca xagal iyo barokaca toosan
- Dhibaatooyinka muunada xawaaraha xagasha iyo xawaaraha toosan ee xalalka
- Muunadaha muunadaha dardargelinta xagasha iyo dardargelinta toosan ee xalalka
- Dhibaatooyinka muunadaha ee xalalka ah ee dhaqdhaqaaqyada wareegsan ee isku midka ah
- Muunadaha dhibaatooyinka dardargelinta dhexe ee xalalka
- Dhaqdhaqaaqyo wareeg ah oo aan isku mid ahayn oo muunad ah oo ku saabsan xalalka
