A circle has a circumference of 31.4 meters. What is its radius? (Use \(\pi \approx 3.14\))

["### How to Find the Radius of a Circle with a Given Circumference — Solving for Radius When Circumference Is 31.4 Meters", "Understanding how to calculate the radius of a circle is a fundamental skill in geometry, and it becomes especially useful when dealing with real-world problems like perimeter, hoop diameters, or circular structures. In this article, we’ll explore how to find the radius of a circle when you know its circumference—and specifically solve the problem: If a circle has a circumference of 31.4 meters, what is its radius?", "---", "#### The Formula You Need: Circumference = 2πr", "To find the radius ((r)) of a circle, we use the basic formula:", "[\n\ ext{Circumference } (C) = 2\pi r\n]", "Where:\n- (C) is the circumference\n- (r) is the radius\n- (\pi) (pi) is approximately 3.14 in everyday calculations", "---", "#### Step-by-Step Calculation", "Given:\n[\nC = 31.4 \ ext{ meters},\quad \pi \approx 3.14\n]", "Use the formula and solve for (r):", "[\nC = 2\pi r \\n31.4 = 2 \ imes 3.14 \ imes r\n]", "First, multiply (2 \ imes 3.14):", "[\n31.4 = 6.28 \ imes r\n]", "Now divide both sides by 6.28 to isolate (r):", "[\nr = \frac{31.4}{6.28}\n]", "Calculate the result:", "[\nr = 5\n]", "---", "#### Final Answer", "The radius of a circle with a circumference of 31.4 meters is 5 meters.", "---", "#### Why This Matters in Real Life", "Knowing how to derive the radius from circumference is valuable in many practical scenarios. For instance:\n- Engineers and architects use this relationship when designing circular tracks, wheels, or pipes.\n- Educators and students often revisit this formula to reinforce understanding of circles and (\pi).\n- DIY enthusiasts might calculate necessary radii when repairing circular fences, round tables, or circular gardens.", "---", "#### Quick Summary", "- Circumference (C = 2\pi r)\n- Given (C = 31.4) meters, (\pi \approx 3.14)\n- Solve: (r = \frac{C}{2\pi} = \frac{31.4}{6.28} = 5) meters", "Mastering this simple equation helps simplify complex geometric tasks and strengthens your math foundation.", "---", "Keywords: circle circumference formula, find radius from circumference, how to calculate radius, circumference to radius, math problem solution, (\pi \approx 3.14, r), geometry tutorial, circular motion math, real-life circle measurements", "---", "Also read:\n- Finding diameter from circle circumference\n- Used formulas in real-world engineering applications\n- Step-by-step ratio and proportional reasoning in geometry", "---", "By familiarizing yourself with such basic but powerful formulas, you’ll gain clarity and confidence in solving everyday and technical geometry problems involving circles."]