Matematika

Pertanyaan

Tolong bantuannya........
Tolong bantuannya........

1 Jawaban

  • Luas juring = α/(360°) luas lingkaran
    80 = α/(360°) . πr^2
    80 = α/(360°) . πr^2
    Misal α/360° = x
    80 = x . πr^2
    x = 80/(πr^2)

    Keliling juring = d + α/(360°) . Keliling lingkaran ====> d = diameter
    K = 2r + x . 2πr
    K = 2r + 80/(πr^2) . 2πr
    K = 2r + 160/r
    K = 2r + 160r^-1
    Agar diperoleh keliling minimum kita turunkan dan sama dg nol
    K' = 2 - 160r^-2 = 0
    => -160/r^2 = -2
    => -160 = -2r^2
    => r^2 = 80
    => r = √80 = 4√5