Respuesta :

Nayefx

Answer:

[tex] \huge \boxed{ \boxed{ \red{{s \approx \: 10.47}}}}[/tex]

Step-by-step explanation:

to understand this

you need to know about:

  • geometry
  • PEMDAS

tips and formulas:

  • [tex]s = \frac{\pi {r} \theta}{180} [/tex]

given:

  • r=10
  • [tex] \theta = 60[/tex]

let's solve:

  1. [tex] \sf sustitute \: the \: value s \: of \: \theta \: and \: r : \\ =\frac{\pi \times 10 \times 60}{180} [/tex]
  2. [tex] \sf rediuce \: 60 : \\ =\frac{\pi \times 10 \times \cancel{60} \: ^{1} }{ \cancel{180} \: \:^{3} } \\ =\frac{\pi \times 10}{3} [/tex]
  3. [tex] \sf use \: 3.14 \: for \: \pi : \\ = \frac{3.14 \times 10}{3} [/tex]
  4. [tex] \sf simplify \: multipication : \\ = \frac{31.4}{3} \\ \approx \: 10.47[/tex]

[tex]\\ \sf\longmapsto \ell=\dfrac{\Theta}{180}\pi r[/tex]

[tex]\\ \sf\longmapsto \ell=\dfrac{60}{180}\times 3.14(10)[/tex]

[tex]\\ \sf\longmapsto \ell=\dfrac{1}{3}(31.4)[/tex]

[tex]\\ \sf\longmapsto \ell=10.4m[/tex]

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