Next, find the area of the smaller circle (the roundabout), which has a radius of 10 meters:
["Understanding the Area of the Smaller Circle: How to Calculate the Roundabout’s Surface in Math & Real Life", "When designed as a circular roundabout, the central area—often referred to as the central island—is typically circular, playing a key role in both aesthetics and traffic flow. If your roundabout features a smaller central circle with a radius of 10 meters, calculating its area helps with urban planning, landscaping, or mathematical modeling.", "### What Is the Area of a Circle?", "The area of a circle is determined using the formula:\n[\n\ ext{Area} = \pi r^2\n]\nwhere ( r ) is the radius of the circle.", "### Step-by-Step Calculation", "For the smaller central circle:\n- Radius ( r = 10 ) meters\n- Plugging into the formula:\n[\n\ ext{Area} = \pi \ imes (10)^2 = \pi \ imes 100\n]\n[\n\ ext{Area} = 100\pi \ ext{ square meters}\n]", "### Approximate Value\nUsing ( \pi \approx 3.1416 ):\n[\n100\pi \approx 314.16 \ ext{ square meters}\n]", "### Why This Matters\nUnderstanding the area of the smaller circle within a roundabout supports efficient space utilization in city design, drainage planning, and greenery placement. Whether for engineers, architects, or math students, calculating this area provides essential data for roundabout projects.", "---", "In summary, the area of the smaller circle (central island) with a 10-meter radius is exactly 100π square meters, or approximately 314.16 m². This simple calculation unlocks valuable insights in both urban development and geometry."]
