Answer:
r = 3.1 inches
Step-by-step explanation:
Given that,
Arc, l = 4 inches
Angle, [tex]\theta=\dfrac{5\pi}{12}[/tex]
We need to find the value of radius r.
We know that, for a circle,
[tex]\dfrac{\text{arc}}{\text{circumferance}}=\dfrac{\theta}{2\pi}\\\\\dfrac{4}{2\pi r}=\dfrac{\dfrac{5\pi}{12}}{2\pi}\\\\r=\dfrac{48}{5\pi}\\\\=3.1\ in[/tex]
S, the radius of the circle is 3.1 inches.
