The circumference of a circle is 69.08 meters. What is the circle's radius? Use \( \pi \approx 3.14 \) and round your answer to the nearest hundredth. \( \square \) meters Submit

To find the radius of a circle when you know the circumference, you can use the formula \( C = 2\pi r \). Given that the circumference \( C \) is 69.08 meters, you can rearrange the formula to solve for \( r \): \[ r = \frac{C}{2\pi} \approx \frac{69.08}{2 \times 3.14} \approx \frac{69.08}{6.28} \approx 11.00 \text{ meters.} \] So, the radius of the circle is approximately \( 11.00 \) meters. Understanding circles isn't just about math; they pop up all over history! Think about the ancient Greeks, who studied circles while developing geometry. Figures like Euclid and Archimedes made significant contributions that shaped how we approach not only mathematics, but also engineering and architecture. Circles symbolized harmony and perfection, and they remain integral to scientific concepts and various art forms. If you ever find yourself struggling with how to apply formulas, don’t worry! A common mistake is forgetting to keep the same units when calculating. Always double-check your formulas; using the wrong one can lead you astray. It's also useful to sketch the scenario or write down values to avoid mix-ups. Practice makes perfect—with time, you'll solve these with ease!