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\( 3 \mathrm{~g}) \) A circle has a circumference of approximately 471 inches. Find the length of the diameter.

Ask by Martinez Gibbs. in the United States
Feb 27,2025

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The diameter of the circle is approximately 149.92 inches.

Solución

To find the length of the diameter of a circle given its circumference, we can use the formula: \[ \text{Circumference} = \pi \times \text{Diameter} \] Given that the circumference of the circle is approximately 471 inches, we can set up the equation: \[ 471 = \pi \times \text{Diameter} \] Now, we can solve for the diameter by dividing both sides of the equation by π (approximately 3.14159): \[ \text{Diameter} = \frac{471}{\pi} \] Let's calculate the diameter using the given circumference. Calculate the value by following steps: - step0: Calculate: \(\frac{471}{\pi }\) The length of the diameter of the circle is approximately 149.92 inches.

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Beyond the Answer

To find the diameter of a circle when the circumference is known, you can use the formula \( C = \pi d \), where \( C \) is the circumference and \( d \) is the diameter. In this case, we have \( C \approx 471 \) inches. Rearranging the formula gives us \( d = \frac{C}{\pi} \). So, plugging in the circumference: \( d \approx \frac{471}{3.14} \approx 150 \) inches. Voilà! The diameter of the circle is approximately 150 inches. Understanding these measurements could come in handy in various real-life situations, such as when designing round tables for an event, considering the size of a circular garden, or even in engineering projects. Knowing how to calculate the diameter from the circumference is a valuable skill that can be applied in many fields, including architecture and design!

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