A basketball hoop witha circumference of 56.52 inches i need to find the diameter
The correct answer and explanation is:
To find the diameter of a basketball hoop given its circumference, you use the formula that relates circumference to diameter: Circumference=π×Diameter\text{Circumference} = \pi \times \text{Diameter}
Given:
- Circumference = 56.52 inches
- π≈3.1416\pi \approx 3.1416
Step-by-step Calculation:
Diameter=Circumferenceπ=56.523.1416≈18.0 inches\text{Diameter} = \frac{\text{Circumference}}{\pi} = \frac{56.52}{3.1416} \approx 18.0 \text{ inches}
✅ Correct Answer: 18.0 inches
📘 Explanation (300 words)
The diameter of a circle is a straight line passing from one side of the circle to the other, going through the center. The circumference is the distance around the edge of the circle. In geometry, the relationship between the circumference CC and diameter DD is expressed by the formula: C=π×DC = \pi \times D
Here, π\pi (pi) is a mathematical constant approximately equal to 3.1416. When you are given the circumference and need to find the diameter, you simply rearrange the formula to solve for DD: D=CπD = \frac{C}{\pi}
In this problem, the basketball hoop has a circumference of 56.52 inches. Dividing this by 3.1416 gives a diameter of approximately 18.0 inches. This value is important because standard basketball hoops are designed with a diameter of 18 inches — meaning this calculation aligns perfectly with real-world specifications.
Understanding how to switch between diameter, radius, and circumference is very useful not just in sports but also in fields like engineering, construction, and design. It helps in measuring and constructing circular objects precisely.
In sports, accurate hoop dimensions ensure fairness and consistency across games. If the diameter were even slightly off, it could affect gameplay — making scoring easier or harder than intended. This illustrates how simple math supports the precision and standards in professional equipment.