O adalah pusat lingkaran dengan OP=OQ=jari jari. POQ=45² dan panjang busur PQ=11cm, maka panjang OP ...
A. 7 cm
B. 14 cm
C. 22 cm
D. 28 cm
A. 7 cm
B. 14 cm
C. 22 cm
D. 28 cm
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Verified answer
Penjelasan dengan langkah-langkah:
BUSUR LINGKARAN
Jika x = adalah besar <POQ , maka
Panjang busur = x/360° × keliling lingkaran
11 = 45/360 × 22/7 × d ......(d = diameter )
11 = 1/8 × 22/7 × d
d = 11 : 1/8 : 22/7
d = 11 × 8 × 7/22
d = 88 × 7/22
d = 4 × 7
d = 28 cm ← diperoleh diameter
Maka jari jari
= ½ × d
= ½ × 28
= 14 cm (B)
11 = 1/8(22/7)D
1/8(22/7)D = 11
D = 11/1/8/22/7
D = 11(8(7)/22
D = 11(56)/22
D = 616/22
D = 28 CM
MAKA :
R = 28/2 = 14 CM