Final answer:
No, 7.2 inches and 28 inches cannot be the diameter and circumference of the same circle. The diameter of a circle is the distance across it, passing through the center, while the circumference is the distance around it.
Step-by-step explanation:
No, 7.2 inches and 28 inches cannot be the diameter and circumference of the same circle. The diameter of a circle is the distance across it, passing through the center, while the circumference is the distance around it.
To verify if these values could be of the same circle, we use the formula C = π * d, where C represents the circumference and d represents the diameter. If we substitute the given values, 7.2 and 28, into the formula, we get 7.2π and 28π, respectively. Since π (pi) is an irrational number (approximately 3.14), multiplying it with 7.2 and 28 results in different values.
Thus, the diameter and circumference of a circle cannot have the same measurements.
Learn more about Circle measurement