Matematika

Pertanyaan

Untuk Π=22/7 hitunglah diameter lingkaran yang luasnya:
a.18.634 cm²
b.308cm²
c.1386cm²

2 Jawaban

  • a) Luas liangkaran = π r²
                       18.634 = 22/7 r²
                               r²  = 18.634 x 7/22
                                   =  5929
                               r   = √5929
                                   =  77
         diameter = 2 x r
                        = 2 x 77
                        = 154 cm
    b) Luas lingkaran  = π r²
                        308   = 22/7 r²
                             r²  = 308 x 7/22
                                 = 98
                             r  = √98
                                = 9,9 cm
     diameter = 19,8 cm
    c) Luas lingkaran  =  π r²
                     1.386   = 22/7 r²
                             r²  = 1386 x 7/22
                                 = 441
                             r   = √441
                                 = 21 cm
     diameter = 42 cm
              

  • Penyelesaian:
    Diket.:
    π = 22/7
    Ditanya:
    a. d = ....?, jika L = 18.634 cm²
    b. d = ....?, jika L = 308 cm²
    c. d = ....?, jika L = 1.386 cm²
    Jawab:
    a.
    Jika L = 18.634 cm², maka:
    πr² = L
    22/7 × r² = 18.634
    r² = 18.634 : 22/7
    r² = 18.634 × 7/22
    r² = 130.438/22
    r² = 5.929
    r = √5.929
    r = 77 cm

    d = 2r
    d = 2 × 77
    d = 154 cm

    b.
    Jika L = 308 cm², maka:
    πr² = L
    22/7 × r² = 308
    r² = 308 : 22/7
    r² = 308 × 7/22
    r² = 2.156/22
    r² = 98
    r = √98
    r = √49×2
    r = 7√2 cm

    d = 2r
    d = 2 × 7√2
    d = 14√2 cm

    c.
    Jika L = 1.386 cm², maka:
    πr² = L
    22/7 × r² = 1.386
    r² = 1.386 : 22/7
    r² = 1.386 × 7/22
    r² = 9.702/22
    r² = 441
    r = √441
    r = 21 cm

    d = 2r
    d = 2 × 21
    d = 42 cm

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