The length of the given arc is 706.86 ft.
Length of arc
The length of the arc is determined by taking the product of radius and subtended angle of the arc.
S = rθ
[tex]S = 2\pi r (\frac{\theta}{360} )[/tex]
where;
- r is the radius
- θ is the subtended angle
The length of the arc is calculated as follows;
[tex]S = 2\pi r (\frac{\theta}{360} )\\\\S = 2 \pi \times 450 \times (\frac{90}{360} )\\\\S = 706.86 \ ft[/tex]
Thus, the length of the given arc is 706.86 ft.
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