Pregunta
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The circumference of a circle is 56.52 meters. What is the circle's radius Use \( \pi \approx 3.14 \) and round your answer to the nearest hundredth.

Ask by Floyd Simpson. in the United States
Jan 13,2025

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The radius of the circle is 9.00 meters.

Solución

To find the radius of a circle given its circumference, you can use the formula: \[ C = 2\pi r \] where: - \( C \) is the circumference, - \( \pi \) is approximately 3.14, - \( r \) is the radius. **Given:** \[ C = 56.52 \text{ meters} \] **Steps to find the radius (\( r \)):** 1. **Rearrange the formula to solve for \( r \):** \[ r = \frac{C}{2\pi} \] 2. **Plug in the known values:** \[ r = \frac{56.52}{2 \times 3.14} \] 3. **Calculate the denominator:** \[ 2 \times 3.14 = 6.28 \] 4. **Divide the circumference by the result:** \[ r = \frac{56.52}{6.28} = 9.00 \text{ meters} \] **Answer:** The radius of the circle is **9.00 meters**.

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To find the radius of a circle, we use the formula for circumference: \( C = 2\pi r \). Given that the circumference \( C \) is 56.52 meters, we can rearrange the formula to solve for the radius \( r \): \[ r = \frac{C}{2\pi} = \frac{56.52}{2 \times 3.14} \approx \frac{56.52}{6.28} \approx 9.00 \text{ meters} \] The radius of the circle is approximately 9.00 meters. To spice things up, did you know that circles have been a subject of fascination since ancient times? The Greeks studied them intensively, with mathematicians like Archimedes making groundbreaking discoveries about their properties, including approximations of π. So, the next time you measure a circle, remember that you're part of a long tradition of circle lovers! Also, practical uses of circles are everywhere! Think about wheels, gears, or even the layout of a roundabout. Understanding the radius can be crucial in engineering and design to optimize functionality and safety. Next time you see a circular object, try calculating its radius and impress your friends with your newfound math skills!

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