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Nyatakan besar sudut dalam satuan derajat ke satuan radian berikut : a. b. c. d.

Pertanyaan

Nyatakan besar sudut dalam satuan derajat ke satuan radian berikut :

a. begin mathsize 14px style 45 degree end style

b. begin mathsize 14px style 90 degree end style

c. begin mathsize 14px style 135 degree end style

d. begin mathsize 14px style 180 degree end style

Pembahasan Soal:

begin mathsize 14px style 1 end style putaranbegin mathsize 14px style equals 2 straight pi space rad equals 360 degree end style, sehingga begin mathsize 14px style 1 degree equals straight pi over 180 space rad end style.

a. begin mathsize 14px style 45 degree equals 45 cross times straight pi over 180 space rad equals 1 fourth straight pi space rad end style

b. begin mathsize 14px style 90 degree equals 90 cross times straight pi over 180 space rad equals 1 half straight pi space rad end style

c. begin mathsize 14px style 135 degree equals 135 cross times fraction numerator straight pi over denominator 180 space end fraction space rad equals 3 over 4 straight pi space rad end style

d. begin mathsize 14px style 180 degree equals 180 cross times straight pi over 180 space rad equals straight pi space rad end style

Jadi, begin mathsize 14px style 45 degree equals 1 fourth straight pi space rad end style, begin mathsize 14px style 90 degree equals 1 half straight pi space rad end style, begin mathsize 14px style 135 degree equals 3 over 4 straight pi space rad end style, dan begin mathsize 14px style 180 degree equals straight pi space rad end style.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 12 April 2021

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