Respuesta :

|VZX|= 2.π.8.[tex] \frac{(360-160)}{360} [/tex]


= [tex]\frac{400 \pi }{45}[/tex]



=  [tex]\frac{80 \pi }{9}[/tex]

Good Luck!

Length of arc VZX is 27.92 units.

What is arc?

The arc is a portion of the circumference of a circle.

Given,

Radius of circle = 8 units

∠VCX = 160°

Let length of arc VZX = x

x = area of circle×(360°- ∠VCX)/360°

x = 2π×8×(360-160)/360

x = 2π×8×(200)/360

x = 400π/45

x = 80π/9

x = 27.92 units

Hence, length of arc VZX is 27.92 units.

learn more about arc of circle

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