A circle has a circumference of 31.4 meters. What is the radius of the circle? (Use π = 3.14)

["Understanding Circle Geometry: Finding the Radius Given Circumference", "If you’ve ever wondered how to calculate the radius of a circle from its circumference, you’re not alone—this is a common question in geometry and everyday math. Knowing the relationship between circumference and radius helps in everything from architecture to physics and everyday problem solving.", "### The Key Formula: Circumference and Radius", "The circumference ( C ) of a circle is calculated using the formula:", "[\nC = 2\pi r\n]", "Where:\n- ( C ) = circumference\n- ( \pi ) (pi) = approximately 3.14 (used here for simplicity)\n- ( r ) = radius of the circle", "Given in the problem:\nCircumference ( C = 31.4 ) meters\nUsing ( \pi = 3.14 )", "### Step-by-Step: Solving for the Radius", "Start by substituting the known values into the formula:", "[\n31.4 = 2 \ imes 3.14 \ imes r\n]", "Simplify:", "[\n31.4 = 6.28 \ imes r\n]", "Now, solve for ( r ) by dividing both sides by 6.28:", "[\nr = \frac{31.4}{6.28} = 5\n]", "### ✅ Final Answer:\nThe radius of the circle is 5 meters.", "### Why This Matters", "Understanding how to derive the radius from circuit length is essential for real-world applications. Whether designing wheels, calculating fence lines around circular plots, or working in scientific research, knowing these fundamentals makes solving geometric problems accurate and efficient.", "If you’re ever given a circle’s circumference and asked for its radius, recall the formula: divide the circumference by ( 2\pi ). With ( \pi = 3.14 ), a circumference of 31.4 meters clearly corresponds to a radius of 5 meters—simple, clean, and reliable.", "---", "Key Takeaways:\n- Circumference = ( 2\pi r )\n- Radius ( r = \frac{C}{2\pi} )\n- For ( C = 31.4 ) meters and ( \pi = 3.14 ), ( r = 5 ) meters", "This basic geometric principle remains a cornerstone for students, engineers, and anyone working with circular shapes."]