The circumference of a circle is 87.92 meters. What is the circle's radiu Use \( \pi \approx 3.14 \) and round your answer to the nearest hundredth. Submit
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The Deep Dive
To find the radius of the circle, we start with the formula for circumference, which is \( C = 2\pi r \). Given that the circumference \( C \) is 87.92 meters, we can solve for \( r \): \[ r = \frac{C}{2\pi} = \frac{87.92}{2 \times 3.14} \approx \frac{87.92}{6.28} \approx 13.99 \] So, the radius of the circle is approximately 13.99 meters when rounded to the nearest hundredth. In ancient times, the concept of a circle was deeply ingrained in various civilizations. The ancient Egyptians, for instance, used circular shapes in their architecture and even in their calendars, where they divided the year into months represented by circular segments. This fascination with circles has continued throughout history, influencing art, science, and mathematics! In practical scenarios, understanding how to measure circles is incredibly helpful. For instance, if you're planning a circular garden, knowing how to find the radius from the circumference helps you determine how much fencing you need. Always double-check your calculations, especially with the value of \( \pi \)—using 3.14 is great for quick estimates, but for precise needs, consider using a calculator with a more accurate pi!
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