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Question 3 \( \begin{array}{l}\text { Find the circumference of a circle with a diameter of } 50 \text { centimeters. Round your } \\ \text { answer to the nearest centimeter. } \\ \text { - } 16 \text { centimeters } \\ \text { o } 314 \text { centimeters } \\ \text { o } 157 \text { centimeters } \\ 079 \text { centimeters }\end{array} \)

Ask by Medina Rojas. in the United States
Jan 25,2025

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Tutor-Verified Answer

Answer

The circumference of the circle is 157 centimeters.

Solution

To find the circumference of a circle when given the diameter, you can use the formula: \[ \text{Circumference} (C) = \pi \times d \] where: - \( \pi \) (pi) is approximately **3.1416**, - \( d \) is the diameter of the circle. **Given:** - Diameter (\( d \)) = **50 centimeters** **Step-by-Step Calculation:** 1. **Plug the diameter into the formula:** \[ C = \pi \times 50 \] 2. **Multiply \( \pi \) by 50:** \[ C \approx 3.1416 \times 50 = 157.08 \text{ centimeters} \] 3. **Round the result to the nearest centimeter:** \[ 157.08 \text{ centimeters} \approx 157 \text{ centimeters} \] **Final Answer:** - **157 centimeters** --- **Answer Choice:** - \( \boxed{157\ \text{centimeters}} \)

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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. In this case, with a diameter of 50 centimeters, the circumference is \( C = \pi \times 50 \approx 157 \) centimeters when rounded to the nearest centimeter. The options provided include 16 centimeters, 314 centimeters, 157 centimeters, and 79 centimeters. The correct answer is 157 centimeters! In ancient civilizations, such as the Egyptians and Babylonians, the understanding of circles and their measurements was quite advanced. They had developed methods to approximate \( \pi \) long before calculators, using geometric shapes to help. This foundational math has evolved but remains essential to many fields today, including architecture and engineering!

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