Final answer:
The diameter of a circle with a circumference of 6.28 inches is 2 inches. This is calculated using the formula C = πd, where C is circumference and d is the diameter, with pi (π) being approximately 3.14159.
Step-by-step explanation:
The question involves finding the diameter of a circle given its circumference. We know the circumference of a circle varies directly as its diameter and can be calculated using the formula C = πd, where C is the circumference and d is the diameter of the circle. The value for pi (π) is approximately 3.14159.
From the information provided, when the diameter is 6 inches, the circumference is 18.84 inches. Therefore, the constant of proportionality here (π) can be found by dividing the given circumference by the diameter: 18.84 inches ÷ 6 inches = 3.14, which is the value of π.
To find the diameter for a circle with a circumference of 6.28 inches, we use the formula rearranged to d = C ÷ π. So, d = 6.28 ÷ 3.14 = 2 inches.
Therefore, the diameter of a circle with a circumference of 6.28 inches is 2 inches.