Jawaban:
luas juring lingkaran dengan jari-jari 14cm dan sudut pusat 40° adalah ...
[tex] \sf Luas = \frac{ \alpha °}{360°} \times luas \: lingkaran[/tex]
[tex] \sf Luas = \frac{40 °}{360 °} \times (\pi \times {r}^{2} )[/tex]
[tex] \sf Luas = \frac{40°}{360°} \times ( \frac{22}{7} \times {14}^{2} )[/tex]
[tex] \sf Luas = \frac{ { \cancel{40}}^{ \: 1} }{ { \cancel{360}}^{ \: \: 9} } \times ( \frac{22}{7} \times 196)[/tex]
[tex] \sf Luas = \frac{1}{9} \times ( \frac{22}{ \cancel{7}} \times { \cancel{196}}^{ \: \: 28} )[/tex]
[tex] \sf Luas = \frac{1}{9} \times (22 \times 28)[/tex]
[tex] \sf Luas = \frac{1}{9} \times 616 cm²[/tex]
[tex] \sf Luas = 68,44 \: {cm}^{2} [/tex]
68,44 cm²
Penjelasan dengan langkah-langkah:
LJ = a°/360° × Luas lingkaran
LJ = a°/360° × π × r²
LJ = 40°/360° × 22/7 × 14 × 14
LJ = 1/9 × 22 × 2 × 14
LJ = 1/9 × 22 × 28
LJ = 1/9 × 616
LJ = 68,44 cm²
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Jawaban:
Penyelesaian :
luas juring lingkaran dengan jari-jari 14cm dan sudut pusat 40° adalah ...
Luas Juring lingkaran
[tex] \sf Luas = \frac{ \alpha °}{360°} \times luas \: lingkaran[/tex]
[tex] \sf Luas = \frac{40 °}{360 °} \times (\pi \times {r}^{2} )[/tex]
[tex] \sf Luas = \frac{40°}{360°} \times ( \frac{22}{7} \times {14}^{2} )[/tex]
[tex] \sf Luas = \frac{ { \cancel{40}}^{ \: 1} }{ { \cancel{360}}^{ \: \: 9} } \times ( \frac{22}{7} \times 196)[/tex]
[tex] \sf Luas = \frac{1}{9} \times ( \frac{22}{ \cancel{7}} \times { \cancel{196}}^{ \: \: 28} )[/tex]
[tex] \sf Luas = \frac{1}{9} \times (22 \times 28)[/tex]
[tex] \sf Luas = \frac{1}{9} \times 616 cm²[/tex]
[tex] \sf Luas = 68,44 \: {cm}^{2} [/tex]
68,44 cm²
Penjelasan dengan langkah-langkah:
LJ = a°/360° × Luas lingkaran
LJ = a°/360° × π × r²
LJ = 40°/360° × 22/7 × 14 × 14
LJ = 1/9 × 22 × 2 × 14
LJ = 1/9 × 22 × 28
LJ = 1/9 × 616
LJ = 68,44 cm²