To find the percentage increase in size when ordering a 14-inch pizza compared to a 12-inch pizza, we first need to calculate the area of each pizza, since the size of a pizza is often measured by its area.
The area of a circle is calculated using the formula: Area = π × (radius)².
For the 12-inch pizza:
- The radius is half of the diameter, so the radius is 12 / 2 = 6 inches.
- Area = π × (6)² = π × 36 ≈ 113.1 square inches.
For the 14-inch pizza:
- The radius is 14 / 2 = 7 inches.
- Area = π × (7)² = π × 49 ≈ 153.9 square inches.
Now we can calculate the increase in area:
- Increase in area = Area of 14-inch pizza – Area of 12-inch pizza
- Increase in area ≈ 153.9 – 113.1 ≈ 40.8 square inches.
Next, we find the percentage increase:
- Percentage increase = (Increase in area / Area of 12-inch pizza) × 100
- Percentage increase ≈ (40.8 / 113.1) × 100 ≈ 36.1%.
So, the percentage increase in size when ordering a 14-inch pizza instead of a 12-inch pizza is approximately 36.1%.