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

["Understanding Circle Geometry: Finding the Radius from Circumference", "When working with circles, one fundamental relationship you’ll often encounter is the formula for circumference. The circumference ( C ) of a circle is calculated using the formula:", "[\nC = 2\pi r\n]", "where:\n- ( C ) = circumference\n- ( r ) = radius\n- ( \pi ) (pi) ≈ 3.14 (as given)", "In a real-world example, imagine a circular garden or object where the circumference measures exactly 31.4 meters. A common question is: What is the radius of this circle? Let’s solve it step by step.", "---", "### Step 1: Start with the circumference formula", "Given:\n[\nC = 31.4 \ ext{ meters}, \quad \pi \approx 3.14\n]", "Using the formula ( C = 2\pi r ), substitute known values:\n[\n31.4 = 2 \ imes 3.14 \ imes r\n]", "---", "### Step 2: Simplify the equation", "Calculate ( 2 \ imes 3.14 ):\n[\n31.4 = 6.28 \ imes r\n]", "---", "### Step 3: Solve for the radius ( r )", "Divide both sides by 6.28 to isolate ( r ):\n[\nr = \frac{31.4}{6.28} = 5\n]", "---", "### Result: The radius is 5 meters", "So, a circle with a circumference of 31.4 meters has a radius of exactly 5 meters. This simple calculation is useful in fields like architecture, engineering, and design, where precise circular measurements are crucial.", "---", "### Bonus: Quick Tip", "Remember, knowing the circumference allows you to immediately determine the radius using ( r = \frac{C}{2\pi} ). For any circle:\n[\nr = \frac{31.4}{2 \ imes 3.14} = \frac{31.4}{6.28} = 5 \ ext{ meters}\n]", "Understand this formula, and you’ll master circle problems with confidence!", "---", "Keywords: circle circumference formula, radius from circumference, how to find radius from circumference, math problem solution, geometry tutorial, calculate radius from circumference, π approximation 3.14, circle geometry, math practice, formula application, real-world circle measurements", "Meta Title: Find the radius of a circle with circumference 31.4 meters using π ≈ 3.14\nMeta Description: Learn how to calculate the radius of a circle when given its circumference of 31.4 meters with π ≈ 3.14, including step-by-step solution and real-world applications."]