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Perhatikan lingkaran O di bawah ini! Tentukan: m ∠ BOD mayor !

Perhatikan lingkaran O di bawah ini!

Tentukan: !

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D. Rajib

Master Teacher

Mahasiswa/Alumni Universitas Muhammadiyah Malang

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begin mathsize 14px style m angle B O D space mayor equals 120 degree end style.

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Mencari nilai Jumlah sudut lingkaran adalah . Jadi .

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell Sudut space pusat end cell equals cell 2 cross times sudut space keliling end cell row cell m angle B O D space minor end cell equals cell 2 cross times angle B C D end cell row blank equals cell 2 open parentheses 3 x close parentheses end cell row blank equals cell 6 x end cell row cell m angle B O D space mayor end cell equals cell 2 cross times angle B A D end cell row blank equals cell 2 open parentheses x plus 20 close parentheses end cell row blank equals cell 2 x plus 40 end cell end table end style  

Mencari nilai begin mathsize 14px style x end style

Jumlah sudut lingkaran adalah begin mathsize 14px style 360 degree end style.

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell m angle B O D space minor plus m angle B O D space mayor end cell equals cell 360 degree end cell row cell 6 x plus open parentheses 2 x plus 40 close parentheses end cell equals cell 360 degree end cell row cell 8 x end cell equals cell 360 degree minus 40 degree end cell row cell 8 x end cell equals cell 320 degree end cell row x equals cell fraction numerator 320 degree over denominator 8 end fraction end cell row blank equals cell 40 degree end cell end table end style  

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell m angle B O D space mayor end cell equals cell 2 x plus 40 end cell row blank equals cell 2 open parentheses 40 degree close parentheses plus 40 end cell row blank equals cell 80 degree plus 40 end cell row blank equals cell 120 degree end cell end table end style  

Jadi begin mathsize 14px style m angle B O D space mayor equals 120 degree end style.

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Tina Feronika

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