janessawashington janessawashington
  • 14-03-2022
  • Mathematics
contestada

Please really need the correct answer for this or I'll fail algebra 3

Please really need the correct answer for this or Ill fail algebra 3 class=

Respuesta :

andynguyen32
andynguyen32 andynguyen32
  • 14-03-2022

Answer:

[tex]4\pi[/tex]

Step-by-step explanation:

S = Arc Lenth

θ = Radians

R = Radius

S = θR

So, now that we understand the formula, we will convert 72° into radians by introducing the equation [tex]x*\frac{\pi }{180}[/tex], x = 72

S =  [tex]72*\frac{\pi }{180} * R[/tex]

given that R = 10

S = [tex]\frac{72*10*\pi }{180}[/tex]

S = [tex]\frac{720*\pi }{180}[/tex]

We simplify 720 as 180 goes into 720 4 times and we get

S = [tex]4\pi[/tex]

Hope this helps

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