To find the closest area of one slice of the pizza when it is divided into 6 equal pieces, we need to calculate the area of the entire pizza and then divide it by 6.
The formula for the area of a circle is:
A = πr^2
where A represents the area and r represents the radius of the circle.
Given that the diameter of the pizza is 16 inches, we can find the radius by dividing the diameter by 2:
r = 16 inches / 2 = 8 inches
Now we can calculate the area of the entire pizza:
A = π(8 inches)^2
A ≈ 3.14 × 64 inches^2
A ≈ 201.06 square inches
To find the closest area of one slice, we divide the total area of the pizza by the number of slices (6):
Area of one slice ≈ 201.06 square inches / 6 ≈ 33.51 square inches
Therefore, the closest area of one slice, when the pizza is divided into 6 equal pieces, is approximately 33.51 square inches.