Matematika

Pertanyaan

JIka sudut pusat lingkaran 90° dan jari-jarinya 7cm Tentukan
A.Luas juring AOB
B.Luas Tembereng AB

2 Jawaban

  • a.Ljuring
    [tex] = \frac{ \alpha }{360} \times \pi {r}^{2} \\ = \frac{90}{360} \times \frac{22}{7} \times {7}^{2} \\ = 38.5 \: cm {}^{2} [/tex]
    b.L tembereng
    [tex] =Ljur-Lsgitiga \\= 38.5 - \frac{1}{2} \times {r}^{2} \times sin \alpha \\ = 38.5 - \frac{1}{2} \times {7}^{2} \times sin90 \\ = 38.5 - 24.5 \\ = 14 cm {}^{2} [/tex]
  • (A)
    L.AOB = (α/360)πr²
    L.AOB = (90/360)22/7.7²
    L.AOB = 90/360 . 154
    L.AOB = 38,5 cm²

    (B)
    L = (α/360)πr² – ½ r² sin α
    L = (90/360)(22/7)7² – ½ .7² sin 90°
    L = 38,5 – 24,5
    L = 14 cm²

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