Pertanyaan

Nyatakan besar sudut berikut dalam satuan radian! b. 10 6 ∘ 20 30

Nyatakan besar sudut berikut dalam satuan radian!

b. $10 6^{\circ} 2030$

N. Indah

Master Teacher

Mahasiswa/Alumni Universitas Diponegoro

Jawaban terverifikasi

Jawaban

.

Pembahasan

Gunakan informasi berikut: Perhatikan perhitungan berikut. Jadi, .

Gunakan informasi berikut:

$begin mathsize 14px style table attributes columnalign right center left columnspacing 2px end attributes row cell 1 degree end cell equals cell fraction numerator straight pi over denominator 180 degree end fraction space rad end cell row cell 1 apostrophe end cell equals cell open parentheses 1 over 60 close parentheses to the power of degree equals 1 over 60 cross times straight pi over 180 space rad end cell row cell 1 apostrophe apostrophe end cell equals cell open parentheses 1 over 3600 close parentheses to the power of degree equals 1 over 3600 cross times straight pi over 180 rad end cell end table end style$

Perhatikan perhitungan berikut.

$begin mathsize 14px style table attributes columnalign right center left columnspacing 2px end attributes row cell 106 degree 20 apostrophe 30 apostrophe apostrophe end cell equals cell 106 degree plus 20 apostrophe plus 30 apostrophe apostrophe end cell row blank equals cell open parentheses 106 cross times straight pi over 180 close parentheses plus open parentheses 20 cross times 1 over 60 cross times straight pi over 180 close parentheses plus open parentheses 30 cross times 1 over 3600 cross times straight pi over 180 close parentheses end cell row blank equals cell fraction numerator 106 straight pi over denominator 180 end fraction plus fraction numerator 20 straight pi over denominator 10800 end fraction plus fraction numerator 30 straight pi over denominator 648000 end fraction end cell row blank equals cell fraction numerator 381600 straight pi plus 1200 straight pi plus 30 straight pi over denominator 648000 end fraction end cell row blank equals cell 382830 over 648000 straight pi end cell row blank equals cell 12761 over 21600 straight pi space rad end cell row blank equals cell 0 comma 5908 straight pi space rad end cell end table end style$

Jadi, .