Materi : Unsur - Unsur Lingkaran
Pb = a/360° × πd
6 = 60/360 × 3,14 × d
36 = 3,14 × d
d = 11,46496... cm
d ~ 11,5 cm
r ~ 5,75 cm
a : t : s = 1 : √3 : 2
---
t : s = √3 : 2
t/5,75 = √3/2
t = 5,75 × √3/2
t = 2,875√3
t = 4,9795 cm
Luas Juring - Luas Segitiga
= a/360° × πr² - ½at
L = 60/360 × 3,14 × 5,75 × 5,75 - ½ × 2,875 × 4,9795
L = ⅙( 103,81625 cm² ) - ½( 14,310625 cm² )
L = 17,30270833... - 7,1553125
L = 10,147395333...
L ~ 10,15 cm²
Semoga bisa membantu
[tex] \boxed{ \colorbox{navy}{ \sf{ \color{lightblue}{ Answer\:by\: BLUEBRAXGEOMETRY}}}} [/tex]
Jawaban:
3,252 cm²
Penjelasan dengan langkah-langkah:
Diketahui:
Tali Busur = 6 cm
θ pusat = 60°
..
Ditanya:
Luas Tembereng?
Dijawab:
L Tembereng = Lθ - L∆
Lθ = θ/360 × π × r²
L∆ = 1/2 × a × t
r : 1/2a : t = 2 : 1 : √3
r/(1/2a) = 2/1
r/(1/2 × 6) = 2
r/3 = 2
r = 3 × 2
r = 6 cm
t/r = √3/2
t/6 = √3/2
t = 6√3/2
t = 3√3
t = 5,196 cm
Lθ = 60/360 × 3,14 × 6²
Lθ = 1/6 × 3,14 × 36
Lθ = 6 × 3,14
Lθ = 18,84 cm²
L∆ = 1/2 × 6 × 5,196
L∆ = 15,588 cm²
L Tembereng = 18,84 - 15,588
L Tembereng = 3,252 cm²
[tex]\boxed{\colorbox{ccddff}{Answered by Danial Alf'at}}[/tex]
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Materi : Unsur - Unsur Lingkaran
Jari - Jari Lingkaran
Pb = a/360° × πd
6 = 60/360 × 3,14 × d
36 = 3,14 × d
d = 11,46496... cm
d ~ 11,5 cm
r ~ 5,75 cm
Apotema
a : t : s = 1 : √3 : 2
---
t : s = √3 : 2
t/5,75 = √3/2
t = 5,75 × √3/2
t = 2,875√3
t = 4,9795 cm
Langsung Saja
Luas Juring - Luas Segitiga
= a/360° × πr² - ½at
L = 60/360 × 3,14 × 5,75 × 5,75 - ½ × 2,875 × 4,9795
L = ⅙( 103,81625 cm² ) - ½( 14,310625 cm² )
L = 17,30270833... - 7,1553125
L = 10,147395333...
L ~ 10,15 cm²
Semoga bisa membantu
[tex] \boxed{ \colorbox{navy}{ \sf{ \color{lightblue}{ Answer\:by\: BLUEBRAXGEOMETRY}}}} [/tex]
Jawaban:
3,252 cm²
Penjelasan dengan langkah-langkah:
Diketahui:
Tali Busur = 6 cm
θ pusat = 60°
..
Ditanya:
Luas Tembereng?
..
Dijawab:
L Tembereng = Lθ - L∆
..
Lθ = θ/360 × π × r²
L∆ = 1/2 × a × t
..
r : 1/2a : t = 2 : 1 : √3
..
r/(1/2a) = 2/1
r/(1/2 × 6) = 2
r/3 = 2
r = 3 × 2
r = 6 cm
..
t/r = √3/2
t/6 = √3/2
t = 6√3/2
t = 3√3
t = 5,196 cm
..
Lθ = 60/360 × 3,14 × 6²
Lθ = 1/6 × 3,14 × 36
Lθ = 6 × 3,14
Lθ = 18,84 cm²
..
L∆ = 1/2 × 6 × 5,196
L∆ = 15,588 cm²
..
L Tembereng = 18,84 - 15,588
L Tembereng = 3,252 cm²
[tex]\boxed{\colorbox{ccddff}{Answered by Danial Alf'at}}[/tex]