Untuk Π=22/7 hitunglah diameter lingkaran yang luasnya: a.18.634 cm² b.308cm² c.1386cm²
Matematika
setia53
Pertanyaan
Untuk Π=22/7 hitunglah diameter lingkaran yang luasnya:
a.18.634 cm²
b.308cm²
c.1386cm²
a.18.634 cm²
b.308cm²
c.1386cm²
2 Jawaban
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1. Jawaban nurrafi77
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
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2. Jawaban ArifAfkar
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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