Respuesta :
[tex]\bf \textit{arc's length}\\\\
s=\cfrac{\theta \pi r}{180}\quad
\begin{cases}
r=radius\\
\theta =angle~in\\
\qquad degrees\\
------\\
r=3\\
\theta = 57
\end{cases}\implies s=\cfrac{57\cdot \pi \cdot 3}{180}[/tex]
Answer: The length of an arc is 2.98 feet.
Step-by-step explanation:
Since we have given that
Radius of a circle = 3 feet
Angle subtended at the centre = 57°
We need to find the length of an arc:
As we know the formula for "Length of an arc":
[tex]Length=\dfrac{\theta}{360^\circ}\times 2\pi r\\\\Length=\dfrac{57}{360}\times 2\times \dfrac{22}{7}\times 3\\\\Length=2.98\ feet[/tex]
Hence, the length of an arc is 2.98 feet.
