The length of the arc is 22.0 in.
Step - by - Step Explanation
What to find? Length of an arc.
Given Parameters:
• π=3.14
,
• θ=210°
,
• Radius(r) = 6
The length of an arc can be calculated using the formula below:
[tex]\text{Arc length=}\frac{\theta}{360}\times2\pi r[/tex]
Substitute the values into the formula and simplify.
[tex]\text{Arc length=}\frac{210}{360}\times2\times3.14\times6[/tex][tex]=\frac{7912.8}{360}[/tex][tex]=21.98[/tex]
Therefore, the length of the arc is approximately 22.0 in.
