Final answer:
The diameter of the pizza is found by calculating the total circumference from one slice's edge length and then applying the formula for a circle's circumference, which results in a diameter of approximately 12.09 inches.
Step-by-step explanation:
The question is related to geometry, specifically dealing with circles. In this case, John has measured the length along the outer edge of one slice of the pizza, which corresponds to an arc length of a full circle. As the pizza is divided into eight equal slices, this length is 1/8th of the total circumference of the pizza.
In mathematics, the formula for the circumference (C) of a circle is given by C = πd, where d is the diameter of the circle, and π is a mathematical constant (approximately 3.1416). As you know that the circumference of the circle is 8 times the length measured by John (4) 3/4 inches, you would use this formula to solve for d.
So, C = 8 x (4 3/4 inches) = (8 x 19/4 inches) = 38 inches. Then, you plug this into the formula and rearrange to solve for the diameter.
In equation form: C = πd => d = C/π. Plugging in the calculated value for C results in: d = 38/π ≈ 12.09 inches. Therefore, the diameter of the pizza is approximately 12.09 inches.
Learn more about Circle Diameter