Final answer:
The diameter of a pizza with an area of 250 square inches is approximately 18 inches when calculated using the area formula for a circle and rounded to the nearest inch.
Step-by-step explanation:
To find the diameter of a pizza given its area, we can use the formula for the area of a circle, A = πr², where A is the area and r is the radius of the circle. Given that the area is 250 square inches, we can solve for the radius and then find the diameter, which is twice the radius.
First, we rearrange the formula to solve for the radius: r = √(A/π). Plugging in the given area, we have r = √(250/π). Using π approximately equal to 3.14159, we find r ≈ √(250/3.14159) ≈ √(79.577) ≈ 8.92 inches. Therefore, the radius of the pizza is approximately 8.92 inches.
To find the diameter, we simply multiply the radius by 2: diameter = 2r ≈ 2(8.92) ≈ 17.84 inches. To the nearest inch, the diameter of the pizza is approximately 18 inches.