The length of the arc WX is the number of units on the arc
The length of the arc WX is [tex]\frac{8}{9} \pi[/tex]
How to determine the length of the arc WX?
The given parameters are:
Central angle, m<WVX = 20 degrees
Radius, VW = 8
The length (L) of the arc is calculated as:
[tex]L = \frac{\theta}{360} * 2\pi r[/tex]
Substitute known values
[tex]L = \frac{20}{360} * 2\pi *8[/tex]
Evaluate the product
[tex]L = \frac{320}{360} \pi[/tex]
Simplify the fraction
[tex]L =\frac{8}{9} \pi[/tex]
Hence, the length of the arc is [tex]\frac{8}{9} \pi[/tex]
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