sebuah taman berbentuk lingkaran dengan panjang diameter 42m. di atas seluruh bagian taman akan ditanami rumput. harga rumput tersebut adalah Rp 30.000 per m².berapakah biaya yang diperlukan untuk membeli rumput tersebut?
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r = d : 2 = 42 m : 2 = 21 m
Biaya yang diperlukan
Luas lingkaran x biaya
[tex]\pi \times r \times r \times Rp \\ \frac{22}{7} \times 21 \: m \times 21 \: m \times \frac{30.000}{ {m}^{2} } \\ 41.580.000[/tex]
•°• Sebuah taman brbtnk lingkaran dgn panjang diameter 42 m. Diatas seluruh bagian taman akan ditanami rumput.Harga rumput tsbt adalah Rp.30.000/m². Biaya yg diperlukan utk membeli rumput tsbt adlh [tex]\underline{\boxed{\red{\bf{Rp.41.580.000}}}}[/tex]
[tex] \\ \\ [/tex]
Penjelasan dengan langkah-langkah:
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[tex] \: \: \: \: \: \: \: \: \: \: \: \: \colorbox{yellow}{ \sf{Biaya yg Dibutuhkan}}[/tex]
Luas taman = Luas Lingkaran
[tex]\sf{Biaya}[/tex] = [tex]\sf{L_{Taman} × Harga}[/tex]
[tex]\sf{Biaya}[/tex] = [tex]\sf{(πr²) × Harga}[/tex]
[tex]\sf{Biaya}[/tex] = [tex]\sf{(\dfrac{22}{\cancel{7}} × \cancel{21}³ × 21) × 30.000}[/tex]
[tex]\sf{Biaya}[/tex] = [tex]\sf{(22 × 3 × 21) × 30.000}[/tex]
[tex]\sf{Biaya}[/tex] = [tex]\sf{(66 × 21) × 30.000}[/tex]
[tex]\sf{Biaya}[/tex] = [tex]\sf{1.380 × 30.000}[/tex]
[tex]\sf{Biaya}[/tex] = [tex]\underline{\boxed{\red{\bf{Rp.41.580.000}}}}[/tex]
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[tex]_________________________________________________________________________________________________________________________[/tex]
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[tex]\colorbox{ff0000}{} \colorbox{ff4000}{}\colorbox{ff8000}{}\colorbox{ffc000}{}\colorbox{ffff00}{}\colorbox{c0ff00}{}\colorbox{80ff00}{}\colorbox{40ff00}{}\colorbox{00ff00}{}\colorbox{00ff40}{}\colorbox{00ff80}{}\colorbox{00ffc0}{}\colorbox{00ffff}{}\colorbox{00c0ff}{}\colorbox{0080ff}{}\colorbox{0040ff}{}\colorbox{0000ff}{}\colorbox{4000ff}{}\colorbox{8000ff}{}\colorbox{c000ff}{}\colorbox{ff00ff}{}\colorbox{ff00c0}{}\colorbox{ff00a0}{}\colorbox{ff0080}{}\colorbox{ff0040}{}[/tex]
[tex] \: [/tex]
[tex]\colorbox{black} { \blue{ \boxed{ \boxed{\rm\color{FF6666}{༆@}\color{FFB266}{O}\color{B2FF66}{n}\color{66FF66}{l}\color{66FFFF}{y}\color{66B2FF}{Y}\color{6666FF}{o}\color{B266FF}{o}\color{FF66FF}{j}\color{FF66B2}{i}\color{FF9999}{n}\color{FFCC99}{࿐}}}}}[/tex]