Answer: The area of each slice is 18.84 square inches.
Step-by-step explanation:
Each slice of the pizza forms a sector of the whole circular pizza. The side length of each slice of the pizza represents the radius of the circle. To determine the area of a slice of the pizza, we would apply the formula for determining the area of a sector which is expressed as
Area of sector = θ/360 × πr²
Where
θ represents the central angle.
r represents the radius of the circle.
π is a constant whose value is 3.14
From the information given,
θ = 60°
r = 6 inches
Area of sector = 60/360 × 3.14 × 6²
Area of sector = 18.84 square inches
