Given:
Circumference of the circle = 832.38 cm
Central angle = 333°
Let's find the length of the arc of the circle.
To find the length of the arc, apply the formula below:
[tex]\text{Length of arc = }\frac{\theta}{360}\ast2\pi r[/tex]Where:
θ = 333°
2πr = circumference = 832.38 cm
Thus, we have:
[tex]\text{Length of arc = }\frac{333}{360}\ast832.38[/tex]Solving further:
[tex]\begin{gathered} \text{Length of arc = }0.925\ast832.38 \\ \\ \text{Length of arc = }769.95\text{ cm}\approx770.0\text{ cm} \end{gathered}[/tex]Therefore, the length of the arc of the circle to the nearest tenth is 770.0 cm
ANSWER:
770.0 cm
