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Sebuah taman berbentuk juring lingkaran berjari-jari 28 m dan sudut pusat . Jika disekeliling taman akan dipasang lampu berjarak 2m. Berapa banyak lampu yang dibutuhkan?

Sebuah taman berbentuk juring lingkaran berjari-jari 28 m dan sudut pusat begin mathsize 14px style 135 degree end style. Jika disekeliling taman akan dipasang lampu berjarak 2m. Berapa banyak lampu yang dibutuhkan?

Jawaban:

Keliling taman dapat dicari menggunakan 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 cross times 2 πr end cell row blank equals cell fraction numerator begin display style stack up diagonal strike 135 with 3 on top degree end style over denominator begin display style stack up diagonal strike 360 with 8 on top degree end style end fraction cross times 2 cross times fraction numerator 22 over denominator up diagonal strike 7 end fraction cross times stack up diagonal strike 28 with 4 on top end cell row blank equals cell 66 space straight m end cell row blank blank blank row blank blank blank end table end style 

begin mathsize 14px style Keliling space taman equals 66 plus 28 plus 28 space space space space space space space space space space space space space space space space space space space space space space equals 122 space straight m space space space space space space space space space space space space space space end style 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell banyak space lampu space yang space diperlukan end cell equals cell fraction numerator keliling space taman over denominator jarak space antar space lampu end fraction end cell row cell space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space end cell equals cell 122 over 2 end cell row cell space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space end cell equals cell 61 space lampu end cell end table end style    

Jadi, banyak lampu yang dibutuhkan 61 lampu 

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