A circle has a circumference of 31.4 meters. Calculate its radius using \(\pi \approx 3.14\).
["How to Calculate the Radius of a Circle When Circumference Is Known", "Understanding the relationship between a circle’s circumference and radius is essential in geometry and everyday applications—from engineering to architecture. If you know the circumference of a circle and use the formula involving π, calculating the radius is straightforward. In this article, we’ll explore how to find the radius of a circle with a circumference of 31.4 meters, using the approximation (\pi \approx 3.14).", "### What Is Circumference?", "Circumference is the distance around the outer edge of a circle. The formula to calculate the circumference (C) of a circle is:", "[\nC = 2\pi r\n]", "where:\n- (C) is the circumference,\n- (r) is the radius,\n- (\pi) (pi) is a constant approximately equal to 3.14.", "### Given Data", "For this problem, we are told the circumference is:", "[\nC = 31.4 \ ext{ meters}\n]", "We will use:", "[\n\pi \approx 3.14\n]", "### Step-by-Step Calculation", "To find the radius (r), rearrange the circumference formula:", "[\nr = \frac{C}{2\pi}\n]", "Substitute the known values:", "[\nr = \frac{31.4}{2 \ imes 3.14}\n]", "First compute the denominator:", "[\n2 \ imes 3.14 = 6.28\n]", "Now divide:", "[\nr = \frac{31.4}{6.28} = 5\n]", "### Result", "The radius of the circle is:", "[\n\boxed{5 \ ext{ meters}}\n]", "### Real-World Applications", "Knowing how to compute a circle’s radius from its circumference helps in practical scenarios:", "- Construction: For round foundations, cylindrical tanks, or beams with circular cross-sections.\n- Manufacturing: Ensuring precision in machining circular parts.\n- Education: Reinforcing fundamental geometry concepts confidently.", "### Summary", "Using the formula ( r = \frac{C}{2\pi} ), and with a circumference of 31.4 meters and (\pi \approx 3.14), the radius is calculated to be exactly 5 meters. Mastering this calculation supports better problem-solving in both math and real-world engineering tasks.", "---", "Keywords for SEO:\ncircle circumference calculation, radius from circumference formula, how to find radius of a circle, circumference to radius calculator, π in geometry, constant π approximation 3.14, geometry problems with π", "Meta Description:\nLearn how to calculate the radius of a circle from its circumference using (C = 2\pi r). Example: If circumference is 31.4 m and π ≈ 3.14, the radius is 5 meters—perfect for math students and practical applications."]
