Given that the radius of the pizza is 6 inches.
The central angle of the pizza is 50°
We need to determine the arc length of the pizza.
Arc length:
The arc length can be determined using the formula,
[tex]Arc \ length=2 \pi r(\frac{\theta}{360})[/tex]
where r is the radius and [tex]\theta[/tex] is the central angle.
Substituting the values, we get;
[tex]Arc \ length=2 \pi (6)(\frac{50}{360})[/tex]
[tex]Arc \ length= \frac{1884}{360}[/tex]
[tex]Arc \ length= 5.233[/tex]
Thus, the arc length of the pizza is 5.233 inches.
