A circle has a circumference of 31.4 meters. What is the radius of the circle? (Use \( \pi \approx 3.14 \))
["How to Calculate the Radius of a Circle with a Given Circumference (31.4 Meters): A Simple Geometry Guide", "Understanding the relationship between a circle’s circumference and radius is fundamental in geometry — whether you're designing a circular park, a jogging track, or solving textbook problems. In this article, we’ll explore how to find the radius when the circumference is known, using a real-world example with a circumference of 31.4 meters.", "---", "### ❓ A Circle Has a Circumference of 31.4 Meters. What Is Its Radius?\nIf a circle’s circumference is 31.4 meters and you assume ( \pi \approx 3.14 ), calculating the radius is straightforward.", "#### 🔢 The Formula for Circumference\nThe circumference ( C ) of a circle is given by:\n[\nC = 2\pi r\n]\nwhere:\n- ( C ) = Circumference\n- ( r ) = Radius\n- ( \pi ) ≈ 3.14", "---", "#### 🧮 Step-by-Step Calculation\nWe are given:\n( C = 31.4 ) meters\n( \pi \approx 3.14 )", "1. Start with the formula:\n[\n31.4 = 2 \ imes 3.14 \ imes r\n]", "2. Simplify the right-hand side:\n[\n31.4 = 6.28 \ imes r\n]", "3. Solve for ( r ) by dividing both sides by 6.28:\n[\nr = \frac{31.4}{6.28} = 5\n]", "---", "### ✅ Final Answer\nThe radius of the circle is 5 meters.", "---", "### 🌟 Why This Matters\nKnowing the radius from the circumference allows quick design and measurement in architecture, engineering, landscaping, and everyday applications. It also reinforces key math concepts that form the foundation for more advanced topics like area calculation, trigonometry, and physics.", "Next time you come across a circular object with a known circumference, remember: use ( C = 2\pi r ) and solve for ( r ) to find the perfect radius — in this case, exactly 5 meters.", "---", "### 🔍 Quick Recap\n- Circumference formula: ( C = 2\pi r )\n- With ( C = 31.4 ) m and ( \pi \approx 3.14 ):\n[\nr = \frac{C}{2\pi} = \frac{31.4}{6.28} = 5 \ ext{ meters}\n]\n- Radius = 5 meters", "---", "Whether you're a student, teacher, or DIY enthusiast, mastering this formula helps turn circular measurements into real-world precision — all starting with a simple circumference."]
