A circle has a circumference of 31.4 meters. What is its area? (Use π ≈ 3.14)
["How to Calculate the Area of a Circle: A Real-World Problem", "Understanding the relationship between a circle’s circumference and its area is fundamental in geometry—and applies to countless real-life situations, from engineering to landscaping. In this article, we’ll explore a practical problem: What is the area of a circle whose circumference is 31.4 meters, using π ≈ 3.14?", "---", "### Step 1: Recall the Formula for Circumference", "The circumference ( C ) of a circle is given by the formula:\n[\nC = 2\pi r\n]\nwhere ( r ) is the radius.", "Given:\n[\nC = 31.4 \ ext{ meters}\n]\nand ( \pi \approx 3.14 ), we can solve for the radius.", "---", "### Step 2: Solve for the Radius", "Plug the known values into the circumference formula:\n[\n31.4 = 2 \ imes 3.14 \ imes r\n]\n[\n31.4 = 6.28 \ imes r\n]", "Now divide both sides by 6.28:\n[\nr = \frac{31.4}{6.28} = 5 \ ext{ meters}\n]", "So, the radius of the circle is 5 meters.", "---", "### Step 3: Use the Radius to Find the Area", "The area ( A ) of a circle is calculated using the formula:\n[\nA = \pi r^2\n]\nSubstitute ( r = 5 ) meters and ( \pi \approx 3.14 ):\n[\nA = 3.14 \ imes 5^2\n]\n[\nA = 3.14 \ imes 25\n]\n[\nA = 78.5 \ ext{ square meters}\n]", "---", "### Final Answer", "A circle with a circumference of 31.4 meters has an area of 78.5 square meters when using ( \pi \approx 3.14 ).", "---", "### Why This Matters", "Knowing how to convert circumference into area helps in fields such as architecture, design, and construction. Whether planning circular gardens, designing round tables, or calculating materials for curved structures, these calculations ensure precision and efficiency.", "---", "### Related Search Terms", "- How to calculate circle area from circumference\n- Circle formula: circumference to radius\n- Calculate area of a circle using real-world circumference\n- Practical geometry problems with π ≈ 3.14", "---", "If you need to solve geometry problems like this, remember the key steps:\n1. Use ( C = 2\pi r ) to find radius.\n2. Plug radius into ( A = \pi r^2 ) for area.", "With just a few simple calculations, you can unlock a whole world of geometric understanding!"]
