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

["How to Find the Radius of a Circle with a Circumference of 31.4 cm (Using π ≈ 3.14)", "Understanding fundamental geometry concepts is essential for solving everyday problems—especially when working with circles. One common question is: If a circle has a circumference of 31.4 cm, what is its radius?", "### The Formula Every Student Should Know", "The circumference ( C ) of a circle is calculated using the formula:", "[\nC = 2\pi r\n]", "where:\n- ( C ) = circumference\n- ( \pi ) (pi) ≈ 3.14\n- ( r ) = radius of the circle", "### Step-by-Step: Finding the Radius", "We’re given:\n[\nC = 31.4 , \ ext{cm}, \quad \pi \approx 3.14\n]", "Substitute into the formula:", "[\n31.4 = 2 \ imes 3.14 \ imes r\n]", "Simplify the right-hand side:", "[\n31.4 = 6.28 \ imes r\n]", "Now solve for ( r ) by dividing both sides by 6.28:", "[\nr = \frac{31.4}{6.28}\n]", "[\nr = 5\n]", "### ✅ Final Answer", "The radius of the circle is 5 centimeters.", "### Why This Matters", "Knowing how to calculate the radius from the circumference (or vice versa) is useful in real-life applications—from designing circular objects to solving geometry problems in school and engineering. With ( \pi \approx 3.14 ), this simple formula makes finding the radius fast and reliable.", "---", "### Key Takeaways", "- Use ( C = 2\pi r ) to connect circumference and radius.\n- With ( \pi \approx 3.14 ), simplify calculations.\n- For ( C = 31.4 ) cm, the radius is exactly 5 cm.\n- Understanding this relationship strengthens your geometry foundation.", "If you're studying math or preparing for exams, practicing such problems sharpens your problem-solving skills and builds confidence in working with fundamental shapes."]