•°• Sebuah lingkaran memiliki jari² 14 cm dan sudut pusat 90°. Luas juring lingkaran adlh [tex]\underline{\boxed{\red{\bf{154~cm²}}}}[/tex] (Opsi A)
[tex] \\ \\ [/tex]
Penjelasan dengan langkah-langkah:
[tex] \: \: \: \: \: \: \: \: \: \: \: \colorbox{yellow}{ \sf{Luas Juring Lingkaran}}[/tex]
[tex]\sf{L_{Juring}}[/tex] = [tex]\sf{\dfrac{\alpha}{360°} × L_{Lingkaran}}[/tex]
[tex]\sf{L_{Juring}}[/tex] = [tex]\sf{\dfrac{\alpha}{360°} × (π × r × r)}[/tex]
[tex]\sf{L_{Juring}}[/tex] = [tex]\sf{\dfrac{90°}{360°} × (\dfrac{22}{\cancel{7}} × \cancel{14}² × 14)}[/tex]
[tex]\sf{L_{Juring}}[/tex] = [tex]\sf{\dfrac{90°}{360°} × (22 × 2 × 14)}[/tex]
[tex]\sf{L_{Juring}}[/tex] = [tex]\sf{\dfrac{90°}{360°} × (44 × 14)}[/tex]
[tex]\sf{L_{Juring}}[/tex] = [tex]\sf{\dfrac{90°}{360°} × 616}[/tex]
[tex]\sf{L_{Juring}}[/tex] = [tex]\sf{\dfrac{55.440}{360}}[/tex]
[tex]\sf{L_{Juring}}[/tex] = [tex]\underline{\boxed{\red{\bf{154~cm²}}}}[/tex] (A)
[tex]_________________________________________________________________________________________________________________________[/tex]
[tex] \\ \\ \\ \\ \\ [/tex]
=====
[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]
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•°• Sebuah lingkaran memiliki jari² 14 cm dan sudut pusat 90°. Luas juring lingkaran adlh [tex]\underline{\boxed{\red{\bf{154~cm²}}}}[/tex] (Opsi A)
[tex] \\ \\ [/tex]
Penjelasan dengan langkah-langkah:
[tex] \: \: \: \: \: \: \: \: \: \: \: \colorbox{yellow}{ \sf{Luas Juring Lingkaran}}[/tex]
[tex]\sf{L_{Juring}}[/tex] = [tex]\sf{\dfrac{\alpha}{360°} × L_{Lingkaran}}[/tex]
[tex]\sf{L_{Juring}}[/tex] = [tex]\sf{\dfrac{\alpha}{360°} × (π × r × r)}[/tex]
[tex]\sf{L_{Juring}}[/tex] = [tex]\sf{\dfrac{90°}{360°} × (\dfrac{22}{\cancel{7}} × \cancel{14}² × 14)}[/tex]
[tex]\sf{L_{Juring}}[/tex] = [tex]\sf{\dfrac{90°}{360°} × (22 × 2 × 14)}[/tex]
[tex]\sf{L_{Juring}}[/tex] = [tex]\sf{\dfrac{90°}{360°} × (44 × 14)}[/tex]
[tex]\sf{L_{Juring}}[/tex] = [tex]\sf{\dfrac{90°}{360°} × 616}[/tex]
[tex]\sf{L_{Juring}}[/tex] = [tex]\sf{\dfrac{55.440}{360}}[/tex]
[tex]\sf{L_{Juring}}[/tex] = [tex]\underline{\boxed{\red{\bf{154~cm²}}}}[/tex] (A)
[tex] \\ \\ [/tex]
[tex]_________________________________________________________________________________________________________________________[/tex]
[tex] \\ \\ \\ \\ \\ [/tex]
=====
[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]