Answer: The area of the whole pizza can be found using the formula for the area of a circle:
A = πr^2
where r is the radius of the pizza, which is half the diameter. So, for a pizza with a diameter of 16 inches, the radius is 8 inches:
r = 8 inches
A = π(8 inches)^2
A = π(64 square inches)
A = 201.06 square inches (rounded to two decimal places)
If one person ate one eighth of the pizza, then the remaining area of the pizza is:
remaining area = total area - eaten area
eaten area = (1/8) × total area
remaining area = total area - (1/8) × total area
remaining area = (7/8) × total area
So, the remaining area of the pizza is:
remaining area = (7/8) × 201.06 square inches
remaining area ≈ 175.84 square inches
Therefore, the answer is B) 175.84 square inches.
Explanation: