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Tentukan sudut juring lingkaran jika panjang busur dan jari-jari lingkaran !

Tentukan sudut juring lingkaran begin mathsize 14px style AOB end style jika panjang busur begin mathsize 14px style AB end style dan jari-jari lingkaran begin mathsize 14px style 10 space cm end style!

Jawaban:

Perhatikan perhitungan berikut.

Ingat, panjang busur lingkaran:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell Panjang space busur end cell equals cell fraction numerator alpha over denominator 360 degree end fraction times keliling space lingkaran end cell row blank equals cell fraction numerator alpha over denominator 360 degree end fraction times 2 pi straight r end cell end table end style

Maka:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell Panjang space busur end cell equals cell fraction numerator alpha over denominator 360 degree end fraction times 2 pi straight r end cell row 10 equals cell fraction numerator straight alpha over denominator 360 degree end fraction times 2 times 3 comma 14 times 10 end cell row cell fraction numerator 10 times 360 degree over denominator 2 times 3 comma 14 times 10 end fraction end cell equals alpha row cell fraction numerator 360 degree over denominator 6 comma 28 end fraction end cell equals alpha row cell 57 comma 32 degree end cell equals alpha end table end style

Jadi, sudut juring lingkaran begin mathsize 14px style AOB end style adalah begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank 57 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank comma end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 32 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank degree end table end style

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