Penjelasan dengan langkah-langkah:
L = πr²
55,44 = 22/7 × r²
r² = 55,44 ÷ 22/7
r² = 55,44 × 7/22
r² = 17,64
r = √17,64
r = 4,2 m
cari keliling lingkaran
K = 2πr
K = 2 × 22/7 × 4,2
K = 2 × 13,2
K = 26,4 m
K = 2.640 cm
jarak antar tiang = 40 cm
Maka
2640 ÷ 40
= 66 tiang
opsiC
___________________________________
~ Matematika
[tex] \boxed{ \rm \to \: L = \pi \times {r}^{2} }[/tex]
[tex] \boxed{ \rm \to \: k = \pi \times d \: }[/tex]
[tex] \\ [/tex]
[tex] \rm 55.44 = \frac{22}{7} \times {r}^{2} [/tex]
[tex] \rm {r}^{2} = \frac{55.44 \times 7}{22} [/tex]
[tex] \rm {r}^{2} = 17.64[/tex]
[tex] \rm r = \sqrt{17.64} [/tex]
[tex] \rm r = \boxed{ \red{ \bf 4.2 \: m}}[/tex]
Keliling lingkaran
= 2 × π × r/π × d
= 2 × [tex] \ \frac{22}{7} [/tex]× 4,2
= 2 × 13,2
= 26,4 m
= 26,4 m : 40 cm
= 2.640 : 40
= 66 tiang lampu
~ Bangun Datar
[tex]{ \sf Sifat \: lingkaran : }[/tex]
─➤ Rumus mencari luas lingkaran
[tex] \boxed{ \sf L = \pi \times {r}^{2} } \\ \sf\pi \: \to \frac{22}{7} \: jika \: kelipatan \: 7 \\ \sf \pi \to3.14 \: jika \: bukan \: kelipatan \: 7[/tex]
─➤ Rumus mencari keliling lingkaran
[tex] \boxed{ \sf k = \pi \times d \: atau \: 2\pi \times r}[/tex]
Maka, tiang lampu yang dibutuhkan adalah 66 (C)
#LearnWithBrainly
" Life is not a problem to be solved but a reality to be experienced! "
© Copyright 2013 - 2025 KUDO.TIPS - All rights reserved.
Penjelasan dengan langkah-langkah:
Cari jari jari lingkaran
L = πr²
55,44 = 22/7 × r²
r² = 55,44 ÷ 22/7
r² = 55,44 × 7/22
r² = 17,64
r = √17,64
r = 4,2 m
cari keliling lingkaran
K = 2πr
K = 2 × 22/7 × 4,2
K = 2 × 22/7 × 4,2
K = 2 × 13,2
K = 26,4 m
K = 2.640 cm
jarak antar tiang = 40 cm
Maka
2640 ÷ 40
= 66 tiang
opsiC
semoga bermanfaat
Pembahasan
___________________________________
~ Matematika
[tex] \boxed{ \rm \to \: L = \pi \times {r}^{2} }[/tex]
[tex] \boxed{ \rm \to \: k = \pi \times d \: }[/tex]
[tex] \\ [/tex]
[tex] \rm 55.44 = \frac{22}{7} \times {r}^{2} [/tex]
[tex] \rm {r}^{2} = \frac{55.44 \times 7}{22} [/tex]
[tex] \rm {r}^{2} = 17.64[/tex]
[tex] \rm r = \sqrt{17.64} [/tex]
[tex] \rm r = \boxed{ \red{ \bf 4.2 \: m}}[/tex]
[tex] \\ [/tex]
Keliling lingkaran
= 2 × π × r/π × d
= 2 × [tex] \ \frac{22}{7} [/tex]× 4,2
= 2 × 13,2
= 26,4 m
[tex] \\ [/tex]
= 26,4 m : 40 cm
= 2.640 : 40
= 66 tiang lampu
[tex] \\ [/tex]
Pembahasan lanjut
~ Bangun Datar
[tex]{ \sf Sifat \: lingkaran : }[/tex]
[tex] \\ [/tex]
─➤ Rumus mencari luas lingkaran
[tex] \boxed{ \sf L = \pi \times {r}^{2} } \\ \sf\pi \: \to \frac{22}{7} \: jika \: kelipatan \: 7 \\ \sf \pi \to3.14 \: jika \: bukan \: kelipatan \: 7[/tex]
[tex] \\ [/tex]
─➤ Rumus mencari keliling lingkaran
[tex] \boxed{ \sf k = \pi \times d \: atau \: 2\pi \times r}[/tex]
[tex] \\ [/tex]
Kesimpulan
Maka, tiang lampu yang dibutuhkan adalah 66 (C)
#LearnWithBrainly