lingkaran smp
TRANSCRIPT
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Soal - 1
O
D
C
A
B
400
600
Pada gambar di samping, panjang busur AB = 30cm, AOB = 400, dan
COD = 600.
Hitunglah panjang busur CD.
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PembahasanDiketahui:AB = 30 cm, AOB = 400, dan COD = 600
Besar AOB =Pjg. busur
AB
Besar CODPjg. busur
CD400 =
30 cm
600 X cm
X = ( 30 x 60 ) : 40 = 45 cm.
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Soal-5Pada gambar disamping, besar POR = 1000 dan QOS = 300 . Hitunglah besar PTR .
P Q
R
S
T•O
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Pembahasan :POR = 1000
QOS = 300
PTR = (POR - QOS)
= ( 1000 - 300 )
= 350
Jadi, besar PTR = 350
12
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Soal 6
M
N
A
B
Jika : AM = 7 cm , BN = 3 cm dan AB = 24 cmTentukan jarak kedua pusatnya (MN).
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MN2= AB2 + ( r1 + r2 )2
= 242 + ( 7 + 3 )2
= 576 + 100 = 676MN = √ 676 = 26 cm
Pembahasan :
M N
A
B
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SOAL - 1
Luas selimut suatu tabung 880 cm2. Jika tinggi tabung 10 cm dan = , hitunglah panjang jari-jari alasnya.
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Pembahasan Diketahui: Luas selimut = 880 cm2 tinggi tabung = 10 cm
Lsl = 2 r t
880 = 2. .r .10
6160 = 440r r = 6160 : 440 r = 14 cm
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SOAL - 2
Volum suatu tabung 12.320 cm3. Jika jari-jari tabung 14 cm, hitunglah luas sisi tabung tersebut!
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Pembahasan Diketahui: Volum tabung = 12.320 cm3 Jari-jari tbg = 14 cm
tinggi = Volum : luas alas
= 12.320 : x 14 x 14
= 12.320 : 616 = 20 cm.
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Pembahasan
Diketahui: Jari-jari tbg = 14 cm
tinggi tbg = 20 cm
L. selimut = 2 r t
= 2 x x 14 x 20
= 2 x 44 x 20 = 1.760 cm2 .
22 7
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SOAL - 3Sebuah tangki berbentuk tabung tertutup, berisi penuh minyak tanah 77 liter. Jika panjang jari-jari alas tangki 35 cm, hitunglah luas selimut tangki!
1 liter = 1 dm3
= 1.000 cm3
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Pembahasan
Diketahui :
Volum = 77 liter = 77.000 cm3
Jari-jari = 35 cm
tinggi = Volum : luas alas
= 77.000 : x 35 x 35
= 77.000 : 3.850
= 20 cm.
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Pembahasan Diketahui : Jari-jari tbg = 35 cm
tinggi tbg = 20 cm
L. selimut = 2 r t
= 2 x x 35 x 20
= 44 x 100 = 4.400 cm2 .
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Soal -4
• Alas sebuah limas berbentuk persegi yang panjangnya 10 cm, dan tingginya 12 cm.
• Hitunglah volume limas tersebut!10
10
12
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Pembahasan
Volum limas = x Luas alas x tinggi
= x sisi x sisi x tinggi
= x 10 x 10 x 12
= 4 x 100
= 400 cm3
Jadi, volum limas adalah 400 cm3 .
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Soal -5
Jari-jari alas sebuah kerucut 10 cm dan tingginya =12 cm. Hitunglah volum kerucut tersebut!
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PembahasanDiketahui:r = 10 cmt = 12 cm Volum = x r2 t
= x 3,14 x 10 x 10 x 12
= 4 x 314 = 1.256 cm3
Jadi, volum kerucut = 1.256 cm3
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Soal -6
Jari-jari alas sebuah kerucut 15 cm dan tingginya = 20 cm. Hitunglah luas sisi kerucut tersebut !
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PembahasanDiketahui:
r = 15 cm
t = 20 cm
s = r2 + t2
= 152 + 202
= 225 + 400 = 625
= 25 cm.
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Luas sisi = L. Alas + L. Selimut
= r2 + rs
= r ( r + s )
= 3,14 x 15 ( 15 + 25 )
= 3,14 x 600
= 1.884 cm2
Jadi, luas sisi kerucut = 1.884 cm2
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Himpunan Bagian
1
n(A) = 1 1 1
n(A) = 2 1 2 1
n(A) = 3 1 3 3 1
n(A) = 4 1 4 6 4 1
ε = { } ε = 1 ε = 2 ε = 3 ε = 4
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Keterangan:
ε = { } tidak mempunyai anggota
ε = 1 yang mempunyai anggota 1
ε = 2 yang mempunyai anggota 2
ε = 3 yang mempunyai anggota 3
ε = 4 yang mempunyai anggota 4
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