Matematika

Pertanyaan

Ini gimana caranya nomor 1 sampai 3
Ini gimana caranya nomor 1 sampai 3

1 Jawaban

  • 1][
    r = 10,5 cm = 21/2 cm

    Luas juring POQ
    = 60°/360° × luas lingkaran
    = 1/6 × πr²
    = 1/6 × 22/7 × 21/2 × 21/2
    = 1/6 × 11 × 3/2 × 21
    = 1/2 × 1/2 × 11 × 21
    = 232/4
    = 58 cm²

    Panjang busur PQ
    = 60°/360° × keliling lingkaran
    = 1/6 × 2πr
    = 1/3 × 22/7 × 21/2
    = 22/2
    = 11 cm

    2][
    Lingkaran
    Keliling = 88 cm

    a. r = ... ?
    k = 88
    2πr = 88
    2 × 22/7 × r = 88
    r = 88 × 7 / 44
    r = 2 × 7
    r = 14 cm

    b.
    Panjang busur MN
    = 45°/360° × keliling
    = 1/8 × 88
    = 11 cm

    3][
    luas AOB/luas COD = sudut AOB/sudut COD
    50/175 = 40/COD
    COD = 40 × 175/50
    COD = 4 × 35°
    COD = 140°