Panjang busur AB
Cari keliling lingkaran
K = 2πr
K = 2 × 22/7 × 14
K = 2 × 22 × 2
K = 88 cm
AB/K = <AOB/360°
AB/88 = 135°/360°
AB/88 = 3/8
AB/88 = (3 × 11)/(8 × 11)
AB/88 = 33/88
AB = 33 cm
Jadi, panjang AB adalah 33 cm.
Mapel: Matematika
Kelas: VIII
Materi: Bab 7 - Lingkaran
Kode Kategorisasi: 8.2.7
Jawaban:
C. 33 cm
Penjelasan dengan langkah-langkah:
BUSUR LINGKARAN
sudut 135° = ⅜ putaran
r = 14 cm → d = 28 cm
π = 22/7
Panjang busur AB = 135° × π × d
360°
= ⅜ × 22/7 × 28
= 3 × 11 × 2 × 28
8 × 7
= 3 × 11 × 56
56
= 33 × 1
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Diketahui
Ditanya
Panjang busur AB
Penyelesaian
Cari keliling lingkaran
K = 2πr
K = 2 × 22/7 × 14
K = 2 × 22 × 2
K = 88 cm
AB/K = <AOB/360°
AB/88 = 135°/360°
AB/88 = 3/8
AB/88 = (3 × 11)/(8 × 11)
AB/88 = 33/88
AB = 33 cm
Kesimpulan
Jadi, panjang AB adalah 33 cm.
________________
DETAIL JAWABAN
Mapel: Matematika
Kelas: VIII
Materi: Bab 7 - Lingkaran
Kode Kategorisasi: 8.2.7
Jawaban:
C. 33 cm
Penjelasan dengan langkah-langkah:
BUSUR LINGKARAN
sudut 135° = ⅜ putaran
r = 14 cm → d = 28 cm
π = 22/7
Panjang busur AB = 135° × π × d
360°
= ⅜ × 22/7 × 28
= 3 × 11 × 2 × 28
8 × 7
= 3 × 11 × 56
56
= 33 × 1
= 33 cm ✔