Perhatikan gambar di bawah ini! Jika luas juring AOB =41032​ cm2, tentukan: c.  Panjang busur AB

Pertanyaan

Perhatikan gambar di bawah ini!


Jika luas juring AOB begin mathsize 14px style equals 410 2 over 3 space cm squared end style, tentukan:

c.  Panjang busur AB

D. Rajib

Master Teacher

Mahasiswa/Alumni Universitas Muhammadiyah Malang

Jawaban terverifikasi

Jawaban

 panjang busur AB adalah begin mathsize 14px style 29 1 third space cm end style.

Pembahasan

Besar sudut AOB didapatkan:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell Luas space Juring space AOB end cell equals cell fraction numerator angle A O B over denominator 360 degree end fraction times straight pi times straight r times straight r end cell row cell 410 2 over 3 end cell equals cell fraction numerator straight x degree over denominator 360 degree end fraction times 22 over 7 times 28 times 28 end cell row cell fraction numerator 1.232 over denominator 3 end fraction end cell equals cell fraction numerator straight x degree over denominator 360 degree end fraction times 2.464 end cell row cell straight x degree end cell equals cell fraction numerator 1.232 over denominator 3 end fraction times fraction numerator 360 degree over denominator 2.464 end fraction end cell row cell straight x degree end cell equals cell 60 degree end cell end table end style 

Panjang busur AB didapatkan:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell Panjang space Busur space AB end cell equals cell fraction numerator angle AOB over denominator 360 degree end fraction times 2 times straight pi times straight r end cell row cell Panjang space Busur space AB end cell equals cell fraction numerator 60 degree over denominator 360 degree end fraction times 2 times 22 over 7 times 28 end cell row cell Panjang space Busur space AB end cell equals cell 88 over 3 end cell row cell Panjang space Busur space AB end cell equals cell 29 1 third end cell end table end style 

Dengan demikian, panjang busur AB adalah begin mathsize 14px style 29 1 third space cm end style.

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