Answer:
The perimeter of the pizza slice is 20.1 cm
Step-by-step explanation:
Perimeter of a Sector of a Circle
The arc length of a sector of a circle of radius r and angle θ is given by:
L = rθ
The angle must be expressed in radians.
The total perimeter of the circular sector, including the two radii, is:
P = rθ + 2r
The pizza slice has a radius of r=7 cm and a central angle of θ=50°
Converting to radians:
[tex]\theta=50*\frac{\pi}{180}=\frac{5\pi}{18}[/tex]
The perimeter is:
[tex]P = 7*\frac{5\pi}{18} + 2*7[/tex]
Calculating:
P = 20.1 cm
The perimeter of the pizza slice is 20.1 cm
