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). The diameter of a circle is 12 feet. What is the circle's circumference? Use \( \pi \approx 3.14 \) and round your answer to the nearest hundredth. feet

Ask by West Munoz. in the United States
Mar 18,2025

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The circumference is 37.68 feet.

Solución

**Step 1: Identify the formula for circumference** The formula for the circumference \( C \) of a circle when given the diameter \( d \) is: \[ C = \pi d \] **Step 2: Substitute the given values** Here, the diameter \( d \) is 12 feet and \( \pi \) is approximated as 3.14. Substitute these into the formula: \[ C = 3.14 \times 12 \] **Step 3: Calculate the circumference** Multiply: \[ C = 37.68 \text{ feet} \] **Final Answer:** The circumference is \( 37.68 \) feet.

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To find the circumference of a circle, you can use the formula \( C = \pi \times d \), where \( d \) is the diameter. Here, the diameter is 12 feet. So, plugging in the values, we have: \( C = 3.14 \times 12 \approx 37.68 \) feet. So, the circumference of the circle is approximately 37.68 feet when rounded to the nearest hundredth. And there you have it, the circle’s boundary in feet, just waiting for your next adventure around it! Let's spin our imaginations a bit—did you know that the concept of circular measurement dates back 4,000 years to ancient civilizations? The Babylonians used a rough estimate of \(\pi\) as 3.125, while the Egyptians had their own methods for calculating areas and perimeters! So, while we've arrived at a precise answer today, the journey of discovering \(\pi\) has been quite a thrilling ride through history! Also, if you're ever puzzled over circles in real life, you can think about how the circumference is crucial for everything from measuring track fields to designing roundabouts. The next time you're at a fair, keep in mind the importance of calculating circular areas and perimeters; you'll impress your friends with your math prowess while enjoying the rides!

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