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Contoh Soal Cerita Panjang Busur Lingkaran



Di postingan ini, kami akan memberikan sebuah contoh soal cerita yang diambil dalam kehidupan sehari-hari yang berhubungan dengan cara menentukan panjang busur lingkaran. Sebelum memulai membuat soal cerita matematika, kita harus memahami konsep matematika yang akan dibuat soalnya tersebut.

Karena yang akan dibuat soal ceritanya adalah panjang busur lingkaran maka kita harus mengerti apa itu busur lingkaran dan bagaimana cara menentukan panjang busur lingkaran tersebut. Tujuan mengetahui konsepnya adalah mencari penerapannya dalam kehidupan nyata atau dalam kehidupan sehari-hari.

Di sini, kami anggap pembaca telah mengetahui apa yang dimaksud dengan busur lingkaran dan bagaimana cara menentukan panjang busur lingkaran tersebut. Berikut ini adalah contoh soal cerita menentukan panjang busur lingkaran.

Soal:
Pak Amir ingin membuat talang air hujan hujan berbentuk juring lingkaran pada rongganya menggunakan seng, seperti pada gambar berikut ini!
Jika diketahui panjang OA=OB=21 cm dan ∠ AOB=90°  maka berapakah panjang AB untuk membuat talang air hujan tersebut?

Jawab:
Diketahui: ∠ AOB = 90° dan OA=OB= 21 cm
Ditanyakan: Panjang busur AB

Penyelesaian:
 $\begin{align} Panjang  \ Busur \ AB &=  \frac{ ∠ AOB}{ 360°}× 2πr \\ &=\frac{90°}{360°} × 2 × (\frac{22}{7}) ×21
\\ &= \frac{1}{4} × 2 × 66 \\ &= \frac{1}{4} × 132 \\ &=   33 \  cm \end{align}$ 

Demikian postingan singkat kami yang berjudul Contoh Soal Cerita Panjang Busur Lingkaran. Semoga dapat bermanfaat, terima kasih atas kunjungannya!

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2 comments:

  1. Alhamdulillah jadi makin mengerti tentang panjang busur lingkaran. Terus diupdate materinya kak 👍

    ReplyDelete

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