Given the circle O
As shown, there is an arc of length 6 inches subtended by an angle of 113°
The radius of the circle = x
The length of the arc is given by the following formula:
[tex]arc\text{ }length=(\theta *\frac{\pi}{180})*r[/tex]
substitute with the given data: r = x, and length = 6, and θ = 113
[tex]\begin{gathered} 113*\frac{\pi}{180}*x=6 \\ \\ x=\frac{6*180}{113*\pi}=3.04225 \end{gathered}[/tex]
Rounding to the nearest tenth
so, the answer will be x = 3 inches
