Final answer:
The area of each slice of a 10-inch diameter circular pizza cut into 6 equal slices is 13.09 square inches. This is calculated by first finding the total area of the pizza and then dividing that by the number of slices.
Step-by-step explanation:
To calculate the area of each slice of a circular pizza with a given diameter, we first determine the area of the entire pizza and then divide by the number of slices. A pizza that has a diameter of 10 inches means its radius is half of that, which is 5 inches. To find the area of the whole pizza, we use the formula A = πr², where A is the area and r is the radius.
Substituting the radius into the formula, we get:
A = π(5 inches)²
A = π(25 inches²)
A = 78.54 inches² (using 3.14 as an approximation for π)
To find the area of one slice, we divide the total area by 6, as the pizza is cut into 6 equal slices:
Area of one slice = Total area ÷ Number of slices
Area of one slice = 78.54 inches² ÷ 6
Area of one slice = 13.09 inches²
Therefore, the area of each slice is 13.09 square inches.