Rhombuses adadi ne na geometric; parallelogram tare da 4 daidai tarnaƙi.
Tsarin yanki
Tsawon gefe da tsayi
Yankin rhombus (S) daidai yake da samfurin tsawon gefensa da tsayin da aka zana zuwa gare shi:
S = a ⋅ h
Ta gefen tsayi da kusurwa
Yankin rhombus daidai yake da samfurin murabba'in tsayin gefensa da sine na kwana tsakanin bangarorin:
S = a 2 ⋅ ba tare da α
By tsawon diagonals
Yankin rhombus shine rabin samfurin na diagonals.
S = ba 1/2 ⋅ d1 ⋅ d2
Misalan ayyuka
Aiki 1
Nemo yanki na rhombus idan tsawon gefensa ya kai 10 cm kuma tsayin da aka zana zuwa gare shi shine 8 cm.
Yanke shawara:
Muna amfani da dabara ta farko da aka tattauna a sama: S u10d 8 cm ⋅ 80 cm uXNUMXd XNUMX cm2.
Aiki 2
Nemo yanki na rhombus wanda gefensa shine 6 cm kuma wanda babban kusurwa shine 30 °.
Yanke shawara:
Muna amfani da dabara ta biyu, wacce ke amfani da adadin da aka sani ta yanayin saitin: S = (6 cm)2 ⋅ zunubi 30° = 36 cm2 1/2 = 18 cm2.
Aiki 3
Nemo yanki na rhombus idan diagonals sun kasance 4 da 8 cm, bi da bi.
Yanke shawara:
Bari mu yi amfani da dabara na uku, wanda ke amfani da tsawon diagonals: S = 1/2 ⋅ 4 cm ⋅ 8 cm = 16 cm2.