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
