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 When Circumference is Given", "Understanding circles is fundamental in mathematics, and one common question involves finding the radius when the circumference is known. If you’ve ever wondered: What is the radius of a circle with a circumference of ( 31.4 ) meters? — this article provides a clear, step-by-step solution using ( \pi \approx 3.14 ). Plus, we’ll show how to calculate it with confidence.", "### The Formula: Circumference and Radius", "The circumference ( C ) of a circle is related to its radius ( r ) by the formula:", "[\nC = 2\pi r\n]", "Rearranging to solve for radius:", "[\nr = \frac{C}{2\pi}\n]", "### Plugging in the Known Values", "Given:\n( C = 31.4 ) meters\n( \pi \approx 3.14 )", "Substitute into the formula:", "[\nr = \frac{31.4}{2 \ imes 3.14} = \frac{31.4}{6.28}\n]", "Now divide:", "[\nr = 5\n]", "### Conclusion", "A circle with a circumference of 31.4 meters has a radius of exactly 5 meters.", "### Why This Matters", "Whether you're measuring land, designing a wheel, or solving geometry problems, knowing how to derive the radius from circumference is a valuable skill. Using ( \pi \approx 3.14 ) delivers a quick, practical estimate—ideal for everyday calculations and educational purposes.", "Key takeaway:\nFor any circle, knowing circumference enables you to find the radius using ( r = \frac{C}{2\pi} ). With ( C = 31.4 ) m and ( \pi \approx 3.14 ), the radius is 5 meters.", "---", "If you found this helpful, consider exploring how changing the radius affects circumference, or dive into real-world applications like engineering and architecture—where circle geometry plays a vital role."]