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Answer :
By calculating the total area of the pizza and using the formula for the area of a circle, we determine that the pizza has a diameter of 20 inches.
If a pizza is equally split by 5 people and each person gets 62.8 square inches of pizza, we must first find the total area of the pizza and then use the area to find the diameter. The total area (A) of the pizza is the sum of the areas of all 5 slices, which is 5 times 62.8 square inches:
A = 5 times 62.8
= 314 square inches.
The area of a circle is given by the formula A = πR², where R is the radius of the pizza. Using the approximation for π as 3.1416, we can solve for R:
314 = 3.1416 times R²
R² = 314 / 3.1416
= 100
R = 10 inches (since this is the square root of 100).
Since the diameter (D) of the pizza is twice the radius (R), we find:
D = 2 times R
= 2 times 10
= 20 inches.
Therefore, the diameter of the pizza is 20 inches.
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